252367506878401 has 2 divisors, whose sum is σ = 252367506878402. Its totient is φ = 252367506878400.

The previous prime is 252367506878387. The next prime is 252367506878413. The reversal of 252367506878401 is 104878605763252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133231591674801 + 119135915203600 = 11542599^2 + 10914940^2 .

It is a cyclic number.

It is not a de Polignac number, because 252367506878401 - 2¹³ = 252367506870209 is a prime.

It is not a weakly prime, because it can be changed into another prime (252367516878401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126183753439200 + 126183753439201.

It is an arithmetic number, because the mean of its divisors is an integer number (126183753439201).

Almost surely, 2^{252367506878401} is an apocalyptic number.

It is an amenable number.

252367506878401 is a deficient number, since it is larger than the sum of its proper divisors (1).

252367506878401 is an equidigital number, since it uses as much as digits as its factorization.

252367506878401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135475200, while the sum is 64.

The spelling of 252367506878401 in words is "two hundred fifty-two trillion, three hundred sixty-seven billion, five hundred six million, eight hundred seventy-eight thousand, four hundred one".