253007732064 has 96 divisors (see below), whose sum is σ = 695225825280. Its totient is φ = 80465817600.

The previous prime is 253007732057. The next prime is 253007732093. The reversal of 253007732064 is 460237700352.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387409 + ... + 810000.

It is an arithmetic number, because the mean of its divisors is an integer number (7241935680).

Almost surely, 2^253007732064 is an apocalyptic number.

253007732064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253007732064 is an abundant number, since it is smaller than the sum of its proper divisors (442218093216).

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

253007732064 is a wasteful number, since it uses less digits than its factorization.

253007732064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197524 (or 1197516 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 39.

The spelling of 253007732064 in words is "two hundred fifty-three billion, seven million, seven hundred thirty-two thousand, sixty-four".