252013 has 2 divisors, whose sum is σ = 252014. Its totient is φ = 252012.

The previous prime is 252001. The next prime is 252017. The reversal of 252013 is 310252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252004 + 9 = 502^2 + 3^2 .

It is a cyclic number.

It is not a de Polignac number, because 252013 - 2⁹ = 251501 is a prime.

252013 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 251984 and 252002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126006 + 126007.

It is an arithmetic number, because the mean of its divisors is an integer number (126007).

2²⁵²⁰¹³ is an apocalyptic number.

It is an amenable number.

252013 is a deficient number, since it is larger than the sum of its proper divisors (1).

252013 is an equidigital number, since it uses as much as digits as its factorization.

252013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 252013 is about 502.0089640634. The cubic root of 252013 is about 63.1646821044.

Adding to 252013 its reverse (310252), we get a palindrome (562265).

The spelling of 252013 in words is "two hundred fifty-two thousand, thirteen".