252806401 has 2 divisors, whose sum is σ = 252806402. Its totient is φ = 252806400.

The previous prime is 252806377. The next prime is 252806423. The reversal of 252806401 is 104608252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204490000 + 48316401 = 14300^2 + 6951^2 .

It is a cyclic number.

It is not a de Polignac number, because 252806401 - 2⁷ = 252806273 is a prime.

It is a super-2 number, since 2×252806401² = 127822152773145602, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252806401.

It is not a weakly prime, because it can be changed into another prime (252806431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126403200 + 126403201.

It is an arithmetic number, because the mean of its divisors is an integer number (126403201).

Almost surely, 2^252806401 is an apocalyptic number.

It is an amenable number.

252806401 is a deficient number, since it is larger than the sum of its proper divisors (1).

252806401 is an equidigital number, since it uses as much as digits as its factorization.

252806401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 252806401 is about 15899.8868234966. The cubic root of 252806401 is about 632.3089882366.

The spelling of 252806401 in words is "two hundred fifty-two million, eight hundred six thousand, four hundred one".