1057536963 has 36 divisors (see below), whose sum is σ = 1794619008. Its totient is φ = 598298400.

The previous prime is 1057536959. The next prime is 1057536973. The reversal of 1057536963 is 3696357501.

1057536963 is a `hidden beast` number, since 1 + 0 + 57 + 536 + 9 + 63 = 666.

It is not a de Polignac number, because 1057536963 - 2² = 1057536959 is a prime.

It is a super-2 number, since 2×1057536963² = 2236768856222526738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057536973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32670 + ... + 56412.

It is an arithmetic number, because the mean of its divisors is an integer number (49850528).

Almost surely, 2^1057536963 is an apocalyptic number.

1057536963 is a deficient number, since it is larger than the sum of its proper divisors (737082045).

1057536963 is a wasteful number, since it uses less digits than its factorization.

1057536963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23864 (or 23854 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 1057536963 is about 32519.7934034028. The cubic root of 1057536963 is about 1018.8224791019.

The spelling of 1057536963 in words is "one billion, fifty-seven million, five hundred thirty-six thousand, nine hundred sixty-three".