253302837264 has 45 divisors (see below), whose sum is σ = 708913037469. Its totient is φ = 84432265920.

The previous prime is 253302837253. The next prime is 253302837287. The reversal of 253302837264 is 462738203352.

The square root of 253302837264 is 503292.

It is a perfect power (a square), and thus also a powerful number.

253302837264 is a `hidden beast` number, since 2 + 5 + 3 + 302 + 83 + 7 + 264 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4341755664 + 248961081600 = 65892^2 + 498960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6018534 + ... + 6060474.

Almost surely, 2^253302837264 is an apocalyptic number.

253302837264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

253302837264 is the 503292-nd square number.

It is an amenable number.

253302837264 is an abundant number, since it is smaller than the sum of its proper divisors (455610200205).

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

253302837264 is an frugal number, since it uses more digits than its factorization.

253302837264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83896 (or 41946 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 253302837264 in words is "two hundred fifty-three billion, three hundred two million, eight hundred thirty-seven thousand, two hundred sixty-four".