1057056090 has 64 divisors (see below), whose sum is σ = 2778831360. Its totient is φ = 256148480.

The previous prime is 1057056043. The next prime is 1057056139. The reversal of 1057056090 is 906507501.

1057056090 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-2 number, since 2×1057056090² = 2234735154812176200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20946 + ... + 50525.

It is an arithmetic number, because the mean of its divisors is an integer number (43419240).

Almost surely, 2^1057056090 is an apocalyptic number.

1057056090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1057056090 is an abundant number, since it is smaller than the sum of its proper divisors (1721775270).

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

1057056090 is a wasteful number, since it uses less digits than its factorization.

1057056090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71527.

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 1057056090 is about 32512.3990194510. The cubic root of 1057056090 is about 1018.6680326489.

The spelling of 1057056090 in words is "one billion, fifty-seven million, fifty-six thousand, ninety".