251161152 has 168 divisors, whose sum is σ = 770229600. Its totient is φ = 71976960.

The previous prime is 251161147. The next prime is 251161159.

251161152 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (251161159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441124 + ... + 441692.

It is an arithmetic number, because the mean of its divisors is an integer number (4584700).

Almost surely, 2^251161152 is an apocalyptic number.

251161152 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 251161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385114800).

251161152 is an abundant number, since it is smaller than the sum of its proper divisors (519068448).

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

251161152 is a wasteful number, since it uses less digits than its factorization.

251161152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 604 counting only the distinct ones).

The product of its digits is 600, while the sum is 24.

The square root of 251161152 is about 15848.0646136997. The cubic root of 251161152 is about 630.9343254240.

The spelling of 251161152 in words is "two hundred fifty-one million, one hundred sixty-one thousand, one hundred fifty-two".