1005642504 has 48 divisors (see below), whose sum is σ = 2737912320. Its totient is φ = 333454560.

The previous prime is 1005642493. The next prime is 1005642527. The reversal of 1005642504 is 4052465001.

1005642504 is a `hidden beast` number, since 10 + 0 + 5 + 642 + 5 + 0 + 4 = 666.

1005642504 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 2×1005642504² = 2022633691702780032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22812 + ... + 50315.

It is an arithmetic number, because the mean of its divisors is an integer number (57039840).

Almost surely, 2^1005642504 is an apocalyptic number.

It is an amenable number.

1005642504 is an abundant number, since it is smaller than the sum of its proper divisors (1732269816).

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

1005642504 is a wasteful number, since it uses less digits than its factorization.

1005642504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73330 (or 73323 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1005642504 is about 31711.8669270669. The cubic root of 1005642504 is about 1001.8773081753.

The spelling of 1005642504 in words is "one billion, five million, six hundred forty-two thousand, five hundred four".