253120452544401 has 32 divisors (see below), whose sum is σ = 364351319579520. Its totient is φ = 155382315185664.

The previous prime is 253120452544357. The next prime is 253120452544409. The reversal of 253120452544401 is 104445254021352.

It is not a de Polignac number, because 253120452544401 - 2¹⁷ = 253120452413329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253120452544409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915018430 + ... + 915295016.

It is an arithmetic number, because the mean of its divisors is an integer number (11385978736860).

Almost surely, 2^{253120452544401} is an apocalyptic number.

It is an amenable number.

253120452544401 is a deficient number, since it is larger than the sum of its proper divisors (111230867035119).

253120452544401 is a wasteful number, since it uses less digits than its factorization.

253120452544401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334385.

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 253120452544401 in words is "two hundred fifty-three trillion, one hundred twenty billion, four hundred fifty-two million, five hundred forty-four thousand, four hundred one".