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505050525 = 33527891201
BaseRepresentation
bin11110000110100…
…111010110011101
31022012100020002000
4132012213112131
52013243104100
6122040552513
715341600340
oct3606472635
91265306060
10505050525
1123a0a6a31
12121182739
1380832b85
144b10c457
152e514900
hex1e1a759d

505050525 has 96 divisors (see below), whose sum is σ = 1073145600. Its totient is φ = 228096000.

The previous prime is 505050521. The next prime is 505050529. The reversal of 505050525 is 525050505.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (505050521) and next prime (505050529).

It is not a de Polignac number, because 505050525 - 22 = 505050521 is a prime.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505050521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419925 + ... + 421125.

It is an arithmetic number, because the mean of its divisors is an integer number (11178600).

Almost surely, 2505050525 is an apocalyptic number.

It is an amenable number.

505050525 is an abundant number, since it is smaller than the sum of its proper divisors (568095075).

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

505050525 is a wasteful number, since it uses less digits than its factorization.

505050525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 6250, while the sum is 27.

The square root of 505050525 is about 22473.3291926230. The cubic root of 505050525 is about 796.3639810150.

The spelling of 505050525 in words is "five hundred five million, fifty thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 89 105 135 175 189 225 267 315 445 525 623 675 801 945 1201 1335 1575 1869 2225 2403 3115 3603 4005 4725 5607 6005 6675 8407 9345 10809 12015 15575 16821 18015 20025 25221 28035 30025 32427 42035 46725 54045 60075 75663 84105 90075 106889 126105 140175 162135 210175 226989 270225 320667 378315 420525 534445 630525 748223 810675 962001 1134945 1603335 1891575 2244669 2672225 2886003 3741115 4810005 5674725 6734007 8016675 11223345 14430015 18705575 20202021 24050025 33670035 56116725 72150075 101010105 168350175 505050525