251201102152 has 128 divisors (see below), whose sum is σ = 632752727040. Its totient is φ = 90290868480.

The previous prime is 251201102143. The next prime is 251201102177.

It is a happy number.

251201102152 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×251201102152² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15904003 + ... + 15919789.

It is an arithmetic number, because the mean of its divisors is an integer number (4943380680).

Almost surely, 2^251201102152 is an apocalyptic number.

251201102152 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 251201102152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316376363520).

251201102152 is an abundant number, since it is smaller than the sum of its proper divisors (381551624888).

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

251201102152 is a wasteful number, since it uses less digits than its factorization.

251201102152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17811 (or 17807 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

It can be divided in two parts, 251201 and 102152, that added together give a palindrome (353353).

The spelling of 251201102152 in words is "two hundred fifty-one billion, two hundred one million, one hundred two thousand, one hundred fifty-two".