1057312384 has 32 divisors (see below), whose sum is σ = 2111170500. Its totient is φ = 527450112.

The previous prime is 1057312351. The next prime is 1057312427. The reversal of 1057312384 is 4832137501.

It can be written as a sum of positive squares in 2 ways, for example, as 968952384 + 88360000 = 31128^2 + 9400^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1057312384² = 2235818954719526912, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 48274 + ... + 66670.

Almost surely, 2^1057312384 is an apocalyptic number.

It is an amenable number.

1057312384 is a deficient number, since it is larger than the sum of its proper divisors (1053858116).

1057312384 is an equidigital number, since it uses as much as digits as its factorization.

1057312384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18860 (or 18848 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 1057312384 is about 32516.3402614747. The cubic root of 1057312384 is about 1018.7503548043.

Adding to 1057312384 its reverse (4832137501), we get a palindrome (5889449885).

The spelling of 1057312384 in words is "one billion, fifty-seven million, three hundred twelve thousand, three hundred eighty-four".