252695720250 has 640 divisors, whose sum is σ = 775160305920. Its totient is φ = 61212672000.

The previous prime is 252695720203. The next prime is 252695720267. The reversal of 252695720250 is 52027596252.

252695720250 is a `hidden beast` number, since 2 + 5 + 26 + 9 + 572 + 0 + 2 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 252695720196 and 252695720205.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1309304154 + ... + 1309304346.

It is an arithmetic number, because the mean of its divisors is an integer number (1211187978).

Almost surely, 2^252695720250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252695720250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387580152960).

252695720250 is an abundant number, since it is smaller than the sum of its proper divisors (522464585670).

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

252695720250 is a wasteful number, since it uses less digits than its factorization.

252695720250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 252695720250 in words is "two hundred fifty-two billion, six hundred ninety-five million, seven hundred twenty thousand, two hundred fifty".