1057965993 has 48 divisors (see below), whose sum is σ = 1783142400. Its totient is φ = 591948000.

The previous prime is 1057965991. The next prime is 1057966043. The reversal of 1057965993 is 3995697501.

1057965993 is a `hidden beast` number, since 1 + 0 + 579 + 65 + 9 + 9 + 3 = 666.

It is not a de Polignac number, because 1057965993 - 2¹ = 1057965991 is a prime.

It is a super-2 number, since 2×1057965993² = 2238584084688952098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057965991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1408368 + ... + 1409118.

It is an arithmetic number, because the mean of its divisors is an integer number (37148800).

Almost surely, 2^1057965993 is an apocalyptic number.

It is an amenable number.

1057965993 is a deficient number, since it is larger than the sum of its proper divisors (725176407).

1057965993 is a wasteful number, since it uses less digits than its factorization.

1057965993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 2296350, while the sum is 54.

The square root of 1057965993 is about 32526.3891786346. The cubic root of 1057965993 is about 1018.9602351418.

The spelling of 1057965993 in words is "one billion, fifty-seven million, nine hundred sixty-five thousand, nine hundred ninety-three".