1057263913512 has 96 divisors (see below), whose sum is σ = 2977199339400. Its totient is φ = 338541460992.

The previous prime is 1057263913493. The next prime is 1057263913529. The reversal of 1057263913512 is 2153193627501.

1057263913512 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 2 + 639 + 1 + 3 + 5 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1028086490916 + 29177422596 = 1013946^2 + 170814^2 .

It is a super-2 number, since 2×1057263913512² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 873823 + ... + 1696494.

Almost surely, 2^{1057263913512} is an apocalyptic number.

1057263913512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1057263913512 is an abundant number, since it is smaller than the sum of its proper divisors (1919935425888).

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

1057263913512 is a wasteful number, since it uses less digits than its factorization.

1057263913512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570555 (or 2570548 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 1057263913512 in words is "one trillion, fifty-seven billion, two hundred sixty-three million, nine hundred thirteen thousand, five hundred twelve".