1057753136 has 20 divisors (see below), whose sum is σ = 2235705864. Its totient is φ = 480796800.

The previous prime is 1057753133. The next prime is 1057753157. The reversal of 1057753136 is 6313577501.

It is a super-2 number, since 2×1057753136² = 2237683393435668992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057753136.

It is not an unprimeable number, because it can be changed into a prime (1057753133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3004805 + ... + 3005156.

Almost surely, 2^1057753136 is an apocalyptic number.

1057753136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1057753136 is an abundant number, since it is smaller than the sum of its proper divisors (1177952728).

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

1057753136 is a wasteful number, since it uses less digits than its factorization.

1057753136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009980 (or 6009974 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 38.

The square root of 1057753136 is about 32523.1169477958. The cubic root of 1057753136 is about 1018.8918941404.

The spelling of 1057753136 in words is "one billion, fifty-seven million, seven hundred fifty-three thousand, one hundred thirty-six".