1057573264 has 80 divisors (see below), whose sum is σ = 2377080000. Its totient is φ = 450478080.

The previous prime is 1057573219. The next prime is 1057573267. The reversal of 1057573264 is 4623757501.

It is a super-2 number, since 2×1057573264² = 2236922417455227392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057573267) 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 15 ways as a sum of consecutive naturals, for example, 846112 + ... + 847360.

It is an arithmetic number, because the mean of its divisors is an integer number (29713500).

Almost surely, 2^1057573264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057573264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188540000).

1057573264 is an abundant number, since it is smaller than the sum of its proper divisors (1319506736).

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

1057573264 is a wasteful number, since it uses less digits than its factorization.

1057573264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 1057573264 is about 32520.3515356154. The cubic root of 1057573264 is about 1018.8341363309.

The spelling of 1057573264 in words is "one billion, fifty-seven million, five hundred seventy-three thousand, two hundred sixty-four".