253425524352 has 1024 divisors, whose sum is σ = 942682890240. Its totient is φ = 58206781440.

The previous prime is 253425524347. The next prime is 253425524369.

253425524352 is nontrivially palindromic in base 10.

253425524352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253425524352² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1464887338 + ... + 1464887510.

It is an arithmetic number, because the mean of its divisors is an integer number (920588760).

Almost surely, 2^253425524352 is an apocalyptic number.

253425524352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253425524352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471341445120).

253425524352 is an abundant number, since it is smaller than the sum of its proper divisors (689257365888).

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

253425524352 is a wasteful number, since it uses less digits than its factorization.

253425524352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 349 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 42.

It can be divided in two parts, 253425 and 524352, that added together give a palindrome (777777).

The spelling of 253425524352 in words is "two hundred fifty-three billion, four hundred twenty-five million, five hundred twenty-four thousand, three hundred fifty-two".