251254452152 has 96 divisors (see below), whose sum is σ = 546782890320. Its totient is φ = 107322408960.

The previous prime is 251254452133. The next prime is 251254452167.

251254452152 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×251254452152² (a number of 24 digits) contains 22 as substring.

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, 17210168 + ... + 17224760.

Almost surely, 2^251254452152 is an apocalyptic number.

251254452152 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 251254452152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273391445160).

251254452152 is an abundant number, since it is smaller than the sum of its proper divisors (295528438168).

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

251254452152 is a wasteful number, since it uses less digits than its factorization.

251254452152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15321 (or 15300 counting only the distinct ones).

The product of its digits is 160000, while the sum is 38.

The spelling of 251254452152 in words is "two hundred fifty-one billion, two hundred fifty-four million, four hundred fifty-two thousand, one hundred fifty-two".