251254461952 has 160 divisors (see below), whose sum is σ = 556443385344. Its totient is φ = 112611532800.

The previous prime is 251254461949. The next prime is 251254461959. The reversal of 251254461952 is 259164452152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251254461959) 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, 40977927 + ... + 40984057.

Almost surely, 2^251254461952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251254461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278221692672).

251254461952 is an abundant number, since it is smaller than the sum of its proper divisors (305188923392).

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

251254461952 is a wasteful number, since it uses less digits than its factorization.

251254461952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6340 (or 6324 counting only the distinct ones).

The product of its digits is 864000, while the sum is 46.

The spelling of 251254461952 in words is "two hundred fifty-one billion, two hundred fifty-four million, four hundred sixty-one thousand, nine hundred fifty-two".