253031002661200 has 120 divisors (see below), whose sum is σ = 624688310526392. Its totient is φ = 98421503016960.

The previous prime is 253031002661141. The next prime is 253031002661221. The reversal of 253031002661200 is 2166200130352.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1739265091344 + 251291737569856 = 1318812^2 + 15852184^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21489052 + ... + 31110148.

Almost surely, 2^{253031002661200} is an apocalyptic number.

253031002661200 is a gapful number since it is divisible by the number (20) 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 253031002661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312344155263196).

253031002661200 is an abundant number, since it is smaller than the sum of its proper divisors (371657307865192).

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

253031002661200 is a wasteful number, since it uses less digits than its factorization.

253031002661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9622929 (or 9622918 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 253031002661200 its reverse (2166200130352), we get a palindrome (255197202791552).

The spelling of 253031002661200 in words is "two hundred fifty-three trillion, thirty-one billion, two million, six hundred sixty-one thousand, two hundred".