1057815561 has 16 divisors (see below), whose sum is σ = 1539483840. Its totient is φ = 640749120.

The previous prime is 1057815553. The next prime is 1057815587. The reversal of 1057815561 is 1655187501.

It is not a de Polignac number, because 1057815561 - 2³ = 1057815553 is a prime.

It is a super-2 number, since 2×1057815561² = 2237947522187489442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057815541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60531 + ... + 76023.

It is an arithmetic number, because the mean of its divisors is an integer number (96217740).

Almost surely, 2^1057815561 is an apocalyptic number.

1057815561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1057815561 is a deficient number, since it is larger than the sum of its proper divisors (481668279).

1057815561 is a wasteful number, since it uses less digits than its factorization.

1057815561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17576.

The product of its (nonzero) digits is 42000, while the sum is 39.

The square root of 1057815561 is about 32524.0766356249. The cubic root of 1057815561 is about 1018.9119375932.

It can be divided in two parts, 1057 and 815561, that added together give a palindrome (816618).

The spelling of 1057815561 in words is "one billion, fifty-seven million, eight hundred fifteen thousand, five hundred sixty-one".