251155152 has 60 divisors (see below), whose sum is σ = 710819460. Its totient is φ = 82773504.

The previous prime is 251155139. The next prime is 251155159. The reversal of 251155152 is 251551152.

251155152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 71166096 + 179989056 = 8436^2 + 13416^2 .

It is a super-2 number, since 2×251155152² = 126157820752286208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251155159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3018 + ... + 22614.

It is an arithmetic number, because the mean of its divisors is an integer number (11846991).

Almost surely, 2^251155152 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 251155152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355409730).

251155152 is an abundant number, since it is smaller than the sum of its proper divisors (459664308).

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

251155152 is a wasteful number, since it uses less digits than its factorization.

251155152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19700 (or 19691 counting only the distinct ones).

The product of its digits is 2500, while the sum is 27.

The square root of 251155152 is about 15847.8753150067. The cubic root of 251155152 is about 630.9293012446.

It can be divided in two parts, 251 and 155152, that added together give a triangular number (155403 = T₅₅₇).

The spelling of 251155152 in words is "two hundred fifty-one million, one hundred fifty-five thousand, one hundred fifty-two".