251342141250 has 160 divisors (see below), whose sum is σ = 662790839040. Its totient is φ = 63345672000.

The previous prime is 251342141233. The next prime is 251342141257. The reversal of 251342141250 is 52141243152.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (251342141257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31559769 + ... + 31567731.

It is an arithmetic number, because the mean of its divisors is an integer number (4142442744).

Almost surely, 2^251342141250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251342141250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331395419520).

251342141250 is an abundant number, since it is smaller than the sum of its proper divisors (411448697790).

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

251342141250 is a wasteful number, since it uses less digits than its factorization.

251342141250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8450 (or 8435 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 251342141250 in words is "two hundred fifty-one billion, three hundred forty-two million, one hundred forty-one thousand, two hundred fifty".