252001013 has 12 divisors (see below), whose sum is σ = 293288940. Its totient is φ = 215614080.

The previous prime is 252000967. The next prime is 252001019. The reversal of 252001013 is 310100252.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 236144689 + 15856324 = 15367^2 + 3982^2 .

It is not a de Polignac number, because 252001013 - 2¹⁰ = 251999989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252001019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59198 + ... + 63311.

It is an arithmetic number, because the mean of its divisors is an integer number (24440745).

Almost surely, 2^252001013 is an apocalyptic number.

It is an amenable number.

252001013 is a deficient number, since it is larger than the sum of its proper divisors (41287927).

252001013 is a wasteful number, since it uses less digits than its factorization.

252001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122548 (or 122537 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 252001013 is about 15874.5397728564. The cubic root of 252001013 is about 631.6368061233.

Adding to 252001013 its reverse (310100252), we get a palindrome (562101265).

The spelling of 252001013 in words is "two hundred fifty-two million, one thousand, thirteen".