2564674001 has 2 divisors, whose sum is σ = 2564674002. Its totient is φ = 2564674000.

The previous prime is 2564673997. The next prime is 2564674003. The reversal of 2564674001 is 1004764652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2381342401 + 183331600 = 48799^2 + 13540^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564674001 - 2² = 2564673997 is a prime.

Together with 2564674003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2564674003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282337000 + 1282337001.

It is an arithmetic number, because the mean of its divisors is an integer number (1282337001).

Almost surely, 2^2564674001 is an apocalyptic number.

It is an amenable number.

2564674001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564674001 is an equidigital number, since it uses as much as digits as its factorization.

2564674001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 2564674001 is about 50642.6105271045. The cubic root of 2564674001 is about 1368.8127958902.

The spelling of 2564674001 in words is "two billion, five hundred sixty-four million, six hundred seventy-four thousand, one".