1055007504 has 50 divisors (see below), whose sum is σ = 3053501550. Its totient is φ = 351668736.

The previous prime is 1055007491. The next prime is 1055007511. The reversal of 1055007504 is 4057005501.

1055007504 is a `hidden beast` number, since 105 + 50 + 0 + 7 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 599270400 + 455737104 = 24480^2 + 21348^2 .

It is a super-2 number, since 2×1055007504² = 2226081666992620032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 405729 + ... + 408320.

It is an arithmetic number, because the mean of its divisors is an integer number (61070031).

Almost surely, 2^1055007504 is an apocalyptic number.

It is an amenable number.

1055007504 is an abundant number, since it is smaller than the sum of its proper divisors (1998494046).

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

1055007504 is an equidigital number, since it uses as much as digits as its factorization.

1055007504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814069 (or 814054 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 1055007504 is about 32480.8790521439. The cubic root of 1055007504 is about 1018.0095439013.

The spelling of 1055007504 in words is "one billion, fifty-five million, seven thousand, five hundred four".