252306513 has 12 divisors (see below), whose sum is σ = 367669380. Its totient is φ = 166715136.

The previous prime is 252306511. The next prime is 252306541. The reversal of 252306513 is 315603252.

252306513 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 0 + 651 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76160529 + 176145984 = 8727^2 + 13272^2 .

It is not a de Polignac number, because 252306513 - 2¹ = 252306511 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (252306511) 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 in 11 ways as a sum of consecutive naturals, for example, 123028 + ... + 125061.

It is an arithmetic number, because the mean of its divisors is an integer number (30639115).

Almost surely, 2^252306513 is an apocalyptic number.

It is an amenable number.

252306513 is a deficient number, since it is larger than the sum of its proper divisors (115362867).

252306513 is a wasteful number, since it uses less digits than its factorization.

252306513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248208 (or 248205 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 252306513 is about 15884.1591845461. The cubic root of 252306513 is about 631.8919467905.

Adding to 252306513 its reverse (315603252), we get a palindrome (567909765).

The spelling of 252306513 in words is "two hundred fifty-two million, three hundred six thousand, five hundred thirteen".