1057904133 has 16 divisors (see below), whose sum is σ = 1657137216. Its totient is φ = 591834240.

The previous prime is 1057904123. The next prime is 1057904149. The reversal of 1057904133 is 3314097501.

1057904133 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 1057904133 - 2¹² = 1057900037 is a prime.

It is a super-2 number, since 2×1057904133² = 2238322309236963378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1057904094 and 1057904103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057904123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1232560 + ... + 1233417.

It is an arithmetic number, because the mean of its divisors is an integer number (103571076).

Almost surely, 2^1057904133 is an apocalyptic number.

1057904133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1057904133 is a deficient number, since it is larger than the sum of its proper divisors (599233083).

1057904133 is a wasteful number, since it uses less digits than its factorization.

1057904133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466004.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 1057904133 is about 32525.4382445494. The cubic root of 1057904133 is about 1018.9403749859.

The spelling of 1057904133 in words is "one billion, fifty-seven million, nine hundred four thousand, one hundred thirty-three".