253504405352 has 64 divisors (see below), whose sum is σ = 528303384000. Its totient is φ = 113076451840.

The previous prime is 253504405313. The next prime is 253504405397.

253504405352 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×253504405352² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 971828 + ... + 1204764.

It is an arithmetic number, because the mean of its divisors is an integer number (8254740375).

Almost surely, 2^253504405352 is an apocalyptic number.

253504405352 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 253504405352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264151692000).

253504405352 is an abundant number, since it is smaller than the sum of its proper divisors (274798978648).

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

253504405352 is a wasteful number, since it uses less digits than its factorization.

253504405352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233186 (or 233182 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 38.

It can be divided in two parts, 253504 and 405352, that added together give a palindrome (658856).

The spelling of 253504405352 in words is "two hundred fifty-three billion, five hundred four million, four hundred five thousand, three hundred fifty-two".