1057521680 has 40 divisors (see below), whose sum is σ = 2461704792. Its totient is φ = 422498304.

The previous prime is 1057521659. The next prime is 1057521697. The reversal of 1057521680 is 861257501.

It can be written as a sum of positive squares in 4 ways, for example, as 244359424 + 813162256 = 15632^2 + 28516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1057521680² = 2236704207340044800, 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 1057521680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62624 + ... + 77696.

Almost surely, 2^1057521680 is an apocalyptic number.

1057521680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057521680 is an abundant number, since it is smaller than the sum of its proper divisors (1404183112).

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

1057521680 is a wasteful number, since it uses less digits than its factorization.

1057521680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15963 (or 15957 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 1057521680 is about 32519.5584225862. The cubic root of 1057521680 is about 1018.8175712391.

The spelling of 1057521680 in words is "one billion, fifty-seven million, five hundred twenty-one thousand, six hundred eighty".