252149813 has 2 divisors, whose sum is σ = 252149814. Its totient is φ = 252149812.

The previous prime is 252149791. The next prime is 252149827. The reversal of 252149813 is 318941252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185449924 + 66699889 = 13618^2 + 8167^2 .

It is a cyclic number.

It is not a de Polignac number, because 252149813 - 2²⁶ = 185040949 is a prime.

It is equal to p_13790438 and since 252149813 and 13790438 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252149873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126074906 + 126074907.

It is an arithmetic number, because the mean of its divisors is an integer number (126074907).

Almost surely, 2^252149813 is an apocalyptic number.

It is an amenable number.

252149813 is a deficient number, since it is larger than the sum of its proper divisors (1).

252149813 is an equidigital number, since it uses as much as digits as its factorization.

252149813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17280, while the sum is 35.

The square root of 252149813 is about 15879.2258312551. The cubic root of 252149813 is about 631.7611033270.

The spelling of 252149813 in words is "two hundred fifty-two million, one hundred forty-nine thousand, eight hundred thirteen".