251322135552 has 132 divisors (see below), whose sum is σ = 725967133476. Its totient is φ = 83741736960.

The previous prime is 251322135551. The next prime is 251322135563. The reversal of 251322135552 is 255531223152.

251322135552 is a `hidden beast` number, since 2 + 51 + 3 + 2 + 21 + 35 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138812875776 + 112509259776 = 372576^2 + 335424^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251322135551) 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, 42731652 + ... + 42737532.

Almost surely, 2^251322135552 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 251322135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362983566738).

251322135552 is an abundant number, since it is smaller than the sum of its proper divisors (474644997924).

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

251322135552 is a wasteful number, since it uses less digits than its factorization.

251322135552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10544 (or 10523 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The spelling of 251322135552 in words is "two hundred fifty-one billion, three hundred twenty-two million, one hundred thirty-five thousand, five hundred fifty-two".