1056133504 has 64 divisors (see below), whose sum is σ = 2231866080. Its totient is φ = 496742400.

The previous prime is 1056133501. The next prime is 1056133531. The reversal of 1056133504 is 4053316501.

1056133504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1056133504² = 2230835956542636032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056133501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176644 + ... + 182524.

Almost surely, 2^1056133504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115933040).

1056133504 is an abundant number, since it is smaller than the sum of its proper divisors (1175732576).

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

1056133504 is an equidigital number, since it uses as much as digits as its factorization.

1056133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 1056133504 is about 32498.2077044258. The cubic root of 1056133504 is about 1018.3715859340.

The spelling of 1056133504 in words is "one billion, fifty-six million, one hundred thirty-three thousand, five hundred four".