252500513 has 2 divisors, whose sum is σ = 252500514. Its totient is φ = 252500512.

The previous prime is 252500489. The next prime is 252500527. The reversal of 252500513 is 315005252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247338529 + 5161984 = 15727^2 + 2272^2 .

It is a cyclic number.

It is not a de Polignac number, because 252500513 - 2¹⁴ = 252484129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (252550513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126250256 + 126250257.

It is an arithmetic number, because the mean of its divisors is an integer number (126250257).

Almost surely, 2^252500513 is an apocalyptic number.

It is an amenable number.

252500513 is a deficient number, since it is larger than the sum of its proper divisors (1).

252500513 is an equidigital number, since it uses as much as digits as its factorization.

252500513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 252500513 is about 15890.2647240378. The cubic root of 252500513 is about 632.0538604755.

Adding to 252500513 its reverse (315005252), we get a palindrome (567505765).

The spelling of 252500513 in words is "two hundred fifty-two million, five hundred thousand, five hundred thirteen".