253007327872 has 64 divisors (see below), whose sum is σ = 548080565760. Its totient is φ = 115638819840.

The previous prime is 253007327863. The next prime is 253007327879. The reversal of 253007327872 is 278723700352.

253007327872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (253007327879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 566704 + ... + 909487.

It is an arithmetic number, because the mean of its divisors is an integer number (8563758840).

Almost surely, 2^253007327872 is an apocalyptic number.

It is an amenable number.

253007327872 is an abundant number, since it is smaller than the sum of its proper divisors (295073237888).

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

253007327872 is a wasteful number, since it uses less digits than its factorization.

253007327872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476321 (or 1476309 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 46.

The spelling of 253007327872 in words is "two hundred fifty-three billion, seven million, three hundred twenty-seven thousand, eight hundred seventy-two".