1057513561 has 12 divisors (see below), whose sum is σ = 1144364452. Its totient is φ = 971464608.

The previous prime is 1057513559. The next prime is 1057513601. The reversal of 1057513561 is 1653157501.

It can be written as a sum of positive squares in 2 ways, for example, as 348942400 + 708571161 = 18680^2 + 26619^2 .

It is not a de Polignac number, because 1057513561 - 2¹ = 1057513559 is a prime.

It is a super-2 number, since 2×1057513561² = 2236669863397801442, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057513511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2264250 + ... + 2264716.

Almost surely, 2^1057513561 is an apocalyptic number.

It is an amenable number.

1057513561 is a deficient number, since it is larger than the sum of its proper divisors (86850891).

1057513561 is an frugal number, since it uses more digits than its factorization.

1057513561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 34.

The square root of 1057513561 is about 32519.4335897783. The cubic root of 1057513561 is about 1018.8149639479.

The spelling of 1057513561 in words is "one billion, fifty-seven million, five hundred thirteen thousand, five hundred sixty-one".