252657201 has 32 divisors (see below), whose sum is σ = 358328448. Its totient is φ = 158146560.

The previous prime is 252657199. The next prime is 252657217. The reversal of 252657201 is 102756252.

It is not a de Polignac number, because 252657201 - 2¹ = 252657199 is a prime.

It is a super-2 number, since 2×252657201² = 127671322434308802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252657241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393841 + ... + 394481.

It is an arithmetic number, because the mean of its divisors is an integer number (11197764).

Almost surely, 2^252657201 is an apocalyptic number.

It is an amenable number.

252657201 is a deficient number, since it is larger than the sum of its proper divisors (105671247).

252657201 is a wasteful number, since it uses less digits than its factorization.

252657201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801.

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 252657201 is about 15895.1942737420. The cubic root of 252657201 is about 632.1845727869.

The spelling of 252657201 in words is "two hundred fifty-two million, six hundred fifty-seven thousand, two hundred one".