253073664 has 54 divisors (see below), whose sum is σ = 729680406. Its totient is φ = 84357120.

The previous prime is 253073659. The next prime is 253073683. The reversal of 253073664 is 466370352.

It can be written as a sum of positive squares in only one way, i.e., 249387264 + 3686400 = 15792^2 + 1920^2 .

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

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 5 ways as a sum of consecutive naturals, for example, 52617 + ... + 57224.

Almost surely, 2^253073664 is an apocalyptic number.

253073664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253073664 is an abundant number, since it is smaller than the sum of its proper divisors (476606742).

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

253073664 is a wasteful number, since it uses less digits than its factorization.

253073664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109863 (or 109846 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 253073664 is about 15908.2891600574. The cubic root of 253073664 is about 632.5317321746.

The spelling of 253073664 in words is "two hundred fifty-three million, seventy-three thousand, six hundred sixty-four".