251113405032 has 144 divisors (see below), whose sum is σ = 792432765540. Its totient is φ = 71629028352.

The previous prime is 251113405027. The next prime is 251113405079. The reversal of 251113405032 is 230504311152.

251113405032 is a `hidden beast` number, since 2 + 5 + 1 + 113 + 40 + 503 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 215661787236 + 35451617796 = 464394^2 + 188286^2 .

It is a junction number, because it is equal to n+sod(n) for n = 251113404987 and 251113405005.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2104608 + ... + 2220720.

Almost surely, 2^251113405032 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 251113405032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396216382770).

251113405032 is an abundant number, since it is smaller than the sum of its proper divisors (541319360508).

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

251113405032 is a wasteful number, since it uses less digits than its factorization.

251113405032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116752 (or 116738 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 251113405032 its reverse (230504311152), we get a palindrome (481617716184).

The spelling of 251113405032 in words is "two hundred fifty-one billion, one hundred thirteen million, four hundred five thousand, thirty-two".