253432530152000 has 112 divisors (see below), whose sum is σ = 628240397781360. Its totient is φ = 101273720832000.

The previous prime is 253432530151993. The next prime is 253432530152003. The reversal of 253432530152000 is 251035234352.

It can be written as a sum of positive squares in 8 ways, for example, as 59731381617664 + 193701148534336 = 7728608^2 + 13917656^2 .

It is not an unprimeable number, because it can be changed into a prime (253432530152003) 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, 7345745 + ... + 23681744.

It is an arithmetic number, because the mean of its divisors is an integer number (5609289265905).

Almost surely, 2^{253432530152000} is an apocalyptic number.

253432530152000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253432530152000 is an abundant number, since it is smaller than the sum of its proper divisors (374807867629360).

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

253432530152000 is a wasteful number, since it uses less digits than its factorization.

253432530152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31028537 (or 31028517 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 253432530152000 its reverse (251035234352), we get a palindrome (253683565386352).

The spelling of 253432530152000 in words is "two hundred fifty-three trillion, four hundred thirty-two billion, five hundred thirty million, one hundred fifty-two thousand".