252107702604 has 144 divisors (see below), whose sum is σ = 670364062368. Its totient is φ = 79785990144.

The previous prime is 252107702599. The next prime is 252107702617. The reversal of 252107702604 is 406207701252.

It is a happy number.

252107702604 is a `hidden beast` number, since 2 + 521 + 0 + 7 + 70 + 2 + 60 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101778214 + ... + 101780690.

Almost surely, 2^252107702604 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 252107702604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335182031184).

252107702604 is an abundant number, since it is smaller than the sum of its proper divisors (418256359764).

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

252107702604 is a wasteful number, since it uses less digits than its factorization.

252107702604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 252107702604 in words is "two hundred fifty-two billion, one hundred seven million, seven hundred two thousand, six hundred four".