251165525561152 has 112 divisors (see below), whose sum is σ = 508982778049680. Its totient is φ = 122943641812992.

The previous prime is 251165525561123. The next prime is 251165525561179.

251165525561152 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 49197542697216 + 201967982863936 = 7014096^2 + 14211544^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 251165525561152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6969638878 + ... + 6969674914.

Almost surely, 2^{251165525561152} 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 251165525561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254491389024840).

251165525561152 is an abundant number, since it is smaller than the sum of its proper divisors (257817252488528).

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

251165525561152 is a wasteful number, since it uses less digits than its factorization.

251165525561152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47148 (or 47138 counting only the distinct ones).

The product of its digits is 4500000, while the sum is 52.

The spelling of 251165525561152 in words is "two hundred fifty-one trillion, one hundred sixty-five billion, five hundred twenty-five million, five hundred sixty-one thousand, one hundred fifty-two".