253560305264 has 80 divisors (see below), whose sum is σ = 574218009600. Its totient is φ = 106205029632.

The previous prime is 253560305263. The next prime is 253560305267. The reversal of 253560305264 is 462503065352.

It is a super-2 number, since 2×253560305264² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253560305263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3698207 + ... + 3766145.

It is an arithmetic number, because the mean of its divisors is an integer number (7177725120).

Almost surely, 2^253560305264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253560305264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287109004800).

253560305264 is an abundant number, since it is smaller than the sum of its proper divisors (320657704336).

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

253560305264 is a wasteful number, since it uses less digits than its factorization.

253560305264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68710 (or 68704 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 41.

The spelling of 253560305264 in words is "two hundred fifty-three billion, five hundred sixty million, three hundred five thousand, two hundred sixty-four".