251405133112 has 64 divisors (see below), whose sum is σ = 544945464000. Its totient is φ = 106503745536.

The previous prime is 251405133107. The next prime is 251405133127. The reversal of 251405133112 is 211331504152.

251405133112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4475214 + ... + 4531042.

It is an arithmetic number, because the mean of its divisors is an integer number (8514772875).

Almost surely, 2^251405133112 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 251405133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272472732000).

251405133112 is an abundant number, since it is smaller than the sum of its proper divisors (293540330888).

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

251405133112 is a wasteful number, since it uses less digits than its factorization.

251405133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56768 (or 56764 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 251405133112 its reverse (211331504152), we get a palindrome (462736637264).

The spelling of 251405133112 in words is "two hundred fifty-one billion, four hundred five million, one hundred thirty-three thousand, one hundred twelve".