251543345152 has 96 divisors (see below), whose sum is σ = 557990596800. Its totient is φ = 112399360000.

The previous prime is 251543345143. The next prime is 251543345153.

251543345152 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251543345153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1234527 + ... + 1423777.

It is an arithmetic number, because the mean of its divisors is an integer number (5812402050).

Almost surely, 2^251543345152 is an apocalyptic number.

251543345152 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 251543345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278995298400).

251543345152 is an abundant number, since it is smaller than the sum of its proper divisors (306447251648).

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

251543345152 is a wasteful number, since it uses less digits than its factorization.

251543345152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189343 (or 189323 counting only the distinct ones).

The product of its digits is 360000, while the sum is 40.

It can be divided in two parts, 251543 and 345152, that added together give a palindrome (596695).

The spelling of 251543345152 in words is "two hundred fifty-one billion, five hundred forty-three million, three hundred forty-five thousand, one hundred fifty-two".