653381280 has 72 divisors (see below), whose sum is σ = 2229668532. Its totient is φ = 174234624.

The previous prime is 653381279. The next prime is 653381299. The reversal of 653381280 is 82183356.

653381280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 588159504 + 65221776 = 24252^2 + 8076^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 225429 + ... + 228308.

Almost surely, 2^653381280 is an apocalyptic number.

653381280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

653381280 is an abundant number, since it is smaller than the sum of its proper divisors (1576287252).

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

653381280 is a wasteful number, since it uses less digits than its factorization.

653381280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453758 (or 453747 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 653381280 is about 25561.3239093753. The cubic root of 653381280 is about 867.7385580273.

The spelling of 653381280 in words is "six hundred fifty-three million, three hundred eighty-one thousand, two hundred eighty".