252700451136 has 1008 divisors, whose sum is σ = 951128156160. Its totient is φ = 66076093440.

The previous prime is 252700451131. The next prime is 252700451137. The reversal of 252700451136 is 631154007252.

252700451136 is a `hidden beast` number, since 2 + 5 + 2 + 70 + 0 + 451 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a self number, because there is not a number n which added to its sum of digits gives 252700451136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252700451131) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 448845991 + ... + 448846553.

It is an arithmetic number, because the mean of its divisors is an integer number (943579520).

Almost surely, 2^252700451136 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 252700451136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475564078080).

252700451136 is an abundant number, since it is smaller than the sum of its proper divisors (698427705024).

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

252700451136 is a wasteful number, since it uses less digits than its factorization.

252700451136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 252700451136 its reverse (631154007252), we get a palindrome (883854458388).

The spelling of 252700451136 in words is "two hundred fifty-two billion, seven hundred million, four hundred fifty-one thousand, one hundred thirty-six".