252005523 has 32 divisors (see below), whose sum is σ = 419799552. Its totient is φ = 130636800.

The previous prime is 252005521. The next prime is 252005527. The reversal of 252005523 is 325500252.

It is not a de Polignac number, because 252005523 - 2¹ = 252005521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252005493 and 252005502.

It is not an unprimeable number, because it can be changed into a prime (252005521) 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 31 ways as a sum of consecutive naturals, for example, 154653 + ... + 156273.

It is an arithmetic number, because the mean of its divisors is an integer number (13118736).

Almost surely, 2^252005523 is an apocalyptic number.

252005523 is a deficient number, since it is larger than the sum of its proper divisors (167794029).

252005523 is a wasteful number, since it uses less digits than its factorization.

252005523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315.

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 252005523 is about 15874.6818235831. The cubic root of 252005523 is about 631.6405741835.

Adding to 252005523 its reverse (325500252), we get a palindrome (577505775).

The spelling of 252005523 in words is "two hundred fifty-two million, five thousand, five hundred twenty-three".