253254452352 has 128 divisors (see below), whose sum is σ = 734091552000. Its totient is φ = 76719805440.

The previous prime is 253254452351. The next prime is 253254452369.

253254452352 is nontrivially palindromic in base 10.

253254452352 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 (128).

It is a super-2 number, since 2×253254452352² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253254452351) 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, 17306863 + ... + 17321489.

It is an arithmetic number, because the mean of its divisors is an integer number (5735090250).

Almost surely, 2^253254452352 is an apocalyptic number.

253254452352 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 253254452352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367045776000).

253254452352 is an abundant number, since it is smaller than the sum of its proper divisors (480837099648).

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

253254452352 is a wasteful number, since it uses less digits than its factorization.

253254452352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18754 (or 18742 counting only the distinct ones).

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

The spelling of 253254452352 in words is "two hundred fifty-three billion, two hundred fifty-four million, four hundred fifty-two thousand, three hundred fifty-two".