653013504 has 240 divisors, whose sum is σ = 2216358144. Its totient is φ = 182476800.

The previous prime is 653013497. The next prime is 653013541. The reversal of 653013504 is 405310356.

653013504 is a `hidden beast` number, since 6 + 5 + 301 + 350 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658449 + ... + 659439.

Almost surely, 2^653013504 is an apocalyptic number.

653013504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108179072).

653013504 is an abundant number, since it is smaller than the sum of its proper divisors (1563344640).

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

653013504 is a wasteful number, since it uses less digits than its factorization.

653013504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 653013504 is about 25554.1289031734. The cubic root of 653013504 is about 867.5757162469.

The spelling of 653013504 in words is "six hundred fifty-three million, thirteen thousand, five hundred four".