251132414535200 has 144 divisors (see below), whose sum is σ = 669072901218624. Its totient is φ = 91285155763200.

The previous prime is 251132414535181. The next prime is 251132414535263. The reversal of 251132414535200 is 2535414231152.

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, 16921277 + ... + 28081923.

It is an arithmetic number, because the mean of its divisors is an integer number (4646339591796).

Almost surely, 2^{251132414535200} is an apocalyptic number.

251132414535200 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 251132414535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334536450609312).

251132414535200 is an abundant number, since it is smaller than the sum of its proper divisors (417940486683424).

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

251132414535200 is a wasteful number, since it uses less digits than its factorization.

251132414535200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11163235 (or 11163222 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

Adding to 251132414535200 its reverse (2535414231152), we get a palindrome (253667828766352).

The spelling of 251132414535200 in words is "two hundred fifty-one trillion, one hundred thirty-two billion, four hundred fourteen million, five hundred thirty-five thousand, two hundred".