252415201 has 16 divisors (see below), whose sum is σ = 271857600. Its totient is φ = 234325824.

The previous prime is 252415193. The next prime is 252415211. The reversal of 252415201 is 102514252.

252415201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 252415201 - 2³ = 252415193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252415211) 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, 407470 + ... + 408088.

It is an arithmetic number, because the mean of its divisors is an integer number (16991100).

Almost surely, 2^252415201 is an apocalyptic number.

It is an amenable number.

252415201 is a deficient number, since it is larger than the sum of its proper divisors (19442399).

252415201 is an frugal number, since it uses more digits than its factorization.

252415201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 252415201 is about 15887.5800863442. The cubic root of 252415201 is about 631.9826687351.

Adding to 252415201 its reverse (102514252), we get a palindrome (354929453).

The spelling of 252415201 in words is "two hundred fifty-two million, four hundred fifteen thousand, two hundred one".