252503523137 has 2 divisors, whose sum is σ = 252503523138. Its totient is φ = 252503523136.

The previous prime is 252503523119. The next prime is 252503523149. The reversal of 252503523137 is 731325305252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249816033856 + 2687489281 = 499816^2 + 51841^2 .

It is a cyclic number.

It is not a de Polignac number, because 252503523137 - 2¹⁸ = 252503260993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252503523137.

It is not a weakly prime, because it can be changed into another prime (252503523187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126251761568 + 126251761569.

It is an arithmetic number, because the mean of its divisors is an integer number (126251761569).

Almost surely, 2^252503523137 is an apocalyptic number.

It is an amenable number.

252503523137 is a deficient number, since it is larger than the sum of its proper divisors (1).

252503523137 is an equidigital number, since it uses as much as digits as its factorization.

252503523137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189000, while the sum is 38.

Adding to 252503523137 its reverse (731325305252), we get a palindrome (983828828389).

The spelling of 252503523137 in words is "two hundred fifty-two billion, five hundred three million, five hundred twenty-three thousand, one hundred thirty-seven".