252725006251 has 16 divisors (see below), whose sum is σ = 260511973920. Its totient is φ = 245089877760.

The previous prime is 252725006239. The next prime is 252725006269. The reversal of 252725006251 is 152600527252.

It is a cyclic number.

It is not a de Polignac number, because 252725006251 - 2¹³ = 252724998059 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 252725006251.

It is not an unprimeable number, because it can be changed into a prime (252725006221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921141 + ... + 1163593.

It is an arithmetic number, because the mean of its divisors is an integer number (16281998370).

Almost surely, 2^252725006251 is an apocalyptic number.

252725006251 is a deficient number, since it is larger than the sum of its proper divisors (7786967669).

252725006251 is a wasteful number, since it uses less digits than its factorization.

252725006251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242766.

The product of its (nonzero) digits is 84000, while the sum is 37.

The spelling of 252725006251 in words is "two hundred fifty-two billion, seven hundred twenty-five million, six thousand, two hundred fifty-one".