Search a number
-
+
1053513405 = 33571114829
BaseRepresentation
bin111110110010110…
…101011010111101
32201102101000201000
4332302311122331
54124144412110
6252312240513
735051500440
oct7662653275
92642330630
101053513405
114a075423a
122549a0139
1313a355819
149dcbb657
15627521c0
hex3ecb56bd

1053513405 has 32 divisors (see below), whose sum is σ = 2140473600. Its totient is φ = 481605696.

The previous prime is 1053513337. The next prime is 1053513431. The reversal of 1053513405 is 5043153501.

1053513405 is a `hidden beast` number, since 105 + 3 + 513 + 40 + 5 = 666.

It is not a de Polignac number, because 1053513405 - 221 = 1051416253 is a prime.

It is a super-2 number, since 2×10535134052 = 2219780989029388050, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556470 + ... + 558359.

It is an arithmetic number, because the mean of its divisors is an integer number (66889800).

Almost surely, 21053513405 is an apocalyptic number.

1053513405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1053513405 is an abundant number, since it is smaller than the sum of its proper divisors (1086960195).

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

1053513405 is a wasteful number, since it uses less digits than its factorization.

1053513405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114850 (or 1114844 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1053513405 is about 32457.8712333388. The cubic root of 1053513405 is about 1017.5287493361.

Adding to 1053513405 its reverse (5043153501), we get a palindrome (6096666906).

The spelling of 1053513405 in words is "one billion, fifty-three million, five hundred thirteen thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 1114829 3344487 5574145 7803803 10033461 16722435 23411409 30100383 39019015 50167305 70234227 117057045 150501915 210702681 351171135 1053513405