1057012600 has 48 divisors (see below), whose sum is σ = 2808637200. Its totient is φ = 362403840.

The previous prime is 1057012597. The next prime is 1057012603. The reversal of 1057012600 is 62107501.

It is an interprime number because it is at equal distance from previous prime (1057012597) and next prime (1057012603).

It is a super-2 number, since 2×1057012600² = 2234551273117520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057012603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376105 + ... + 378904.

It is an arithmetic number, because the mean of its divisors is an integer number (58513275).

Almost surely, 2^1057012600 is an apocalyptic number.

1057012600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057012600 is an abundant number, since it is smaller than the sum of its proper divisors (1751624600).

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

1057012600 is a wasteful number, since it uses less digits than its factorization.

1057012600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755032 (or 755023 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 1057012600 is about 32511.7301908096. The cubic root of 1057012600 is about 1018.6540622517.

The spelling of 1057012600 in words is "one billion, fifty-seven million, twelve thousand, six hundred".