2564731241 has 2 divisors, whose sum is σ = 2564731242. Its totient is φ = 2564731240.

The previous prime is 2564731217. The next prime is 2564731327. The reversal of 2564731241 is 1421374652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2443819225 + 120912016 = 49435^2 + 10996^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2564731241 is a prime.

It is a super-2 number, since 2×2564731241² = 13155692677122800162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2564731201) 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, 1282365620 + 1282365621.

It is an arithmetic number, because the mean of its divisors is an integer number (1282365621).

Almost surely, 2^2564731241 is an apocalyptic number.

It is an amenable number.

2564731241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564731241 is an equidigital number, since it uses as much as digits as its factorization.

2564731241 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2564731241 is about 50643.1756606949. The cubic root of 2564731241 is about 1368.8229791548.

The spelling of 2564731241 in words is "two billion, five hundred sixty-four million, seven hundred thirty-one thousand, two hundred forty-one".