2567282401 has 2 divisors, whose sum is σ = 2567282402. Its totient is φ = 2567282400.

The previous prime is 2567282383. The next prime is 2567282411. The reversal of 2567282401 is 1042827652.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1429974225 + 1137308176 = 37815^2 + 33724^2 .

It is a cyclic number.

It is not a de Polignac number, because 2567282401 - 2¹³ = 2567274209 is a prime.

It is not a weakly prime, because it can be changed into another prime (2567282411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1283641200 + 1283641201.

It is an arithmetic number, because the mean of its divisors is an integer number (1283641201).

Almost surely, 2^2567282401 is an apocalyptic number.

It is an amenable number.

2567282401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2567282401 is an equidigital number, since it uses as much as digits as its factorization.

2567282401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 2567282401 is about 50668.3569992160. The cubic root of 2567282401 is about 1369.2766887087.

The spelling of 2567282401 in words is "two billion, five hundred sixty-seven million, two hundred eighty-two thousand, four hundred one".