1057053538 has 32 divisors (see below), whose sum is σ = 1673084160. Its totient is φ = 500176320.

The previous prime is 1057053521. The next prime is 1057053559. The reversal of 1057053538 is 8353507501.

1057053538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1057053538³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1057053497 and 1057053506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810595 + ... + 811897.

It is an arithmetic number, because the mean of its divisors is an integer number (52283880).

Almost surely, 2^1057053538 is an apocalyptic number.

1057053538 is a deficient number, since it is larger than the sum of its proper divisors (616030622).

1057053538 is a wasteful number, since it uses less digits than its factorization.

1057053538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602.

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 1057053538 is about 32512.3597728618. The cubic root of 1057053538 is about 1018.6672128744.

The spelling of 1057053538 in words is "one billion, fifty-seven million, fifty-three thousand, five hundred thirty-eight".