252523361 has 2 divisors, whose sum is σ = 252523362. Its totient is φ = 252523360.

The previous prime is 252523343. The next prime is 252523367. The reversal of 252523361 is 163325252.

252523361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172528225 + 79995136 = 13135^2 + 8944^2 .

It is a cyclic number.

It is not a de Polignac number, because 252523361 - 2¹⁰ = 252522337 is a prime.

It is not a weakly prime, because it can be changed into another prime (252523367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126261680 + 126261681.

It is an arithmetic number, because the mean of its divisors is an integer number (126261681).

Almost surely, 2^252523361 is an apocalyptic number.

It is an amenable number.

252523361 is a deficient number, since it is larger than the sum of its proper divisors (1).

252523361 is an equidigital number, since it uses as much as digits as its factorization.

252523361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10800, while the sum is 29.

The square root of 252523361 is about 15890.9836385291. The cubic root of 252523361 is about 632.0729241081.

The spelling of 252523361 in words is "two hundred fifty-two million, five hundred twenty-three thousand, three hundred sixty-one".