52252513 has 2 divisors, whose sum is σ = 52252514. Its totient is φ = 52252512.

The previous prime is 52252511. The next prime is 52252531. The reversal of 52252513 is 31525225.

It is a happy number.

Together with next prime (52252531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45319824 + 6932689 = 6732^2 + 2633^2 .

It is a cyclic number.

It is not a de Polignac number, because 52252513 - 2¹ = 52252511 is a prime.

It is a super-2 number, since 2×52252513² = 5460650229630338, which contains 22 as substring.

Together with 52252511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (52252511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26126256 + 26126257.

It is an arithmetic number, because the mean of its divisors is an integer number (26126257).

Almost surely, 2^52252513 is an apocalyptic number.

It is an amenable number.

52252513 is a deficient number, since it is larger than the sum of its proper divisors (1).

52252513 is an equidigital number, since it uses as much as digits as its factorization.

52252513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3000, while the sum is 25.

The square root of 52252513 is about 7228.5899731552. The cubic root of 52252513 is about 373.8543118872.

Adding to 52252513 its reverse (31525225), we get a palindrome (83777738).

It can be divided in two parts, 522 and 52513, that added together give a palindrome (53035).

The spelling of 52252513 in words is "fifty-two million, two hundred fifty-two thousand, five hundred thirteen".