1057203012564 has 30 divisors (see below), whose sum is σ = 2763737505914. Its totient is φ = 352401004080.

The previous prime is 1057203012529. The next prime is 1057203012583. The reversal of 1057203012564 is 4652103027501.

1057203012564 is a `hidden beast` number, since 1 + 0 + 57 + 2 + 0 + 30 + 12 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 625412088900 + 431790923664 = 790830^2 + 657108^2 .

It is a super-2 number, since 2×1057203012564² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1631485807 + ... + 1631486454.

Almost surely, 2^{1057203012564} is an apocalyptic number.

It is an amenable number.

1057203012564 is an abundant number, since it is smaller than the sum of its proper divisors (1706534493350).

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

1057203012564 is a wasteful number, since it uses less digits than its factorization.

1057203012564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262972277 (or 3262972266 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 1057203012564 in words is "one trillion, fifty-seven billion, two hundred three million, twelve thousand, five hundred sixty-four".