252882652050 has 864 divisors, whose sum is σ = 862283560320. Its totient is φ = 54867456000.

The previous prime is 252882652007. The next prime is 252882652051. The reversal of 252882652050 is 50256288252.

252882652050 is a `hidden beast` number, since 2 + 52 + 8 + 8 + 26 + 520 + 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 = 252882651987 and 252882652005.

It is not an unprimeable number, because it can be changed into a prime (252882652051) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1674719475 + ... + 1674719625.

It is an arithmetic number, because the mean of its divisors is an integer number (998013380).

Almost surely, 2^252882652050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252882652050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431141780160).

252882652050 is an abundant number, since it is smaller than the sum of its proper divisors (609400908270).

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

252882652050 is a wasteful number, since it uses less digits than its factorization.

252882652050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 252882652050 in words is "two hundred fifty-two billion, eight hundred eighty-two million, six hundred fifty-two thousand, fifty".