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1041505425 = 335217219281
BaseRepresentation
bin111110000101000…
…001110010010001
32200120202221212000
4332011001302101
54113111133200
6251203024213
734544435652
oct7605016221
92616687760
101041505425
114949a2494
1225096b069
13137a0cccc
149c473529
156167e300
hex3e141c91

1041505425 has 144 divisors (see below), whose sum is σ = 2147035200. Its totient is φ = 493516800.

The previous prime is 1041505403. The next prime is 1041505429. The reversal of 1041505425 is 5245051401.

1041505425 is a `hidden beast` number, since 104 + 15 + 0 + 542 + 5 = 666.

It is not a de Polignac number, because 1041505425 - 214 = 1041489041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1041505429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3706285 + ... + 3706565.

Almost surely, 21041505425 is an apocalyptic number.

1041505425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1041505425 is an abundant number, since it is smaller than the sum of its proper divisors (1105529775).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1041505425 is a wasteful number, since it uses less digits than its factorization.

1041505425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1041505425 is about 32272.3631765633. The cubic root of 1041505425 is about 1013.6480256626.

Adding to 1041505425 its reverse (5245051401), we get a palindrome (6286556826).

It can be divided in two parts, 104 and 1505425, that added together give a square (1505529 = 12272).

The spelling of 1041505425 in words is "one billion, forty-one million, five hundred five thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 17 19 25 27 45 51 57 75 85 95 135 153 171 225 255 281 285 289 323 425 459 475 513 675 765 843 855 867 969 1275 1405 1425 1445 1615 2295 2529 2565 2601 2907 3825 4215 4275 4335 4777 4845 5339 5491 7025 7225 7587 7803 8075 8721 11475 12645 12825 13005 14331 14535 16017 16473 21075 21675 23885 24225 26695 27455 37935 39015 42993 43605 48051 49419 63225 65025 71655 72675 80085 81209 82365 90763 119425 128979 133475 137275 144153 148257 189675 195075 214965 218025 240255 243627 247095 272289 358275 400425 406045 411825 453815 644895 720765 730881 741285 816867 1074825 1201275 1218135 1235475 1361445 1542971 2030225 2192643 2269075 2450601 3224475 3603825 3654405 3706425 4084335 4628913 6090675 6807225 7714855 10963215 12253005 13886739 18272025 20421675 23144565 38574275 41660217 54816075 61265025 69433695 115722825 208301085 347168475 1041505425