1057257136 has 20 divisors (see below), whose sum is σ = 2206008112. Its totient is φ = 487964736.

The previous prime is 1057257083. The next prime is 1057257181. The reversal of 1057257136 is 6317527501.

1057257136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057257136² = 2235585303245844992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057257095 and 1057257104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2541276 + ... + 2541691.

Almost surely, 2^1057257136 is an apocalyptic number.

1057257136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1057257136 is an abundant number, since it is smaller than the sum of its proper divisors (1148750976).

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

1057257136 is a wasteful number, since it uses less digits than its factorization.

1057257136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082988 (or 5082982 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 1057257136 is about 32515.4907082763. The cubic root of 1057257136 is about 1018.7326101590.

The spelling of 1057257136 in words is "one billion, fifty-seven million, two hundred fifty-seven thousand, one hundred thirty-six".