1057135729 has 12 divisors (see below), whose sum is σ = 1194483456. Its totient is φ = 933387312.

The previous prime is 1057135697. The next prime is 1057135733. The reversal of 1057135729 is 9275317501.

1057135729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1057135729 - 2⁵ = 1057135697 is a prime.

It is a super-2 number, since 2×1057135729² = 2235071899056722882, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1057135691 and 1057135700.

It is not an unprimeable number, because it can be changed into a prime (1057135799) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132097 + ... + 139870.

It is an arithmetic number, because the mean of its divisors is an integer number (99540288).

Almost surely, 2^1057135729 is an apocalyptic number.

It is an amenable number.

1057135729 is a deficient number, since it is larger than the sum of its proper divisors (137347727).

1057135729 is a wasteful number, since it uses less digits than its factorization.

1057135729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272016 (or 272003 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 40.

The square root of 1057135729 is about 32513.6237445167. The cubic root of 1057135729 is about 1018.6936142830.

The spelling of 1057135729 in words is "one billion, fifty-seven million, one hundred thirty-five thousand, seven hundred twenty-nine".