2562681761 has 2 divisors, whose sum is σ = 2562681762. Its totient is φ = 2562681760.

The previous prime is 2562681733. The next prime is 2562681763. The reversal of 2562681761 is 1671862652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2424971536 + 137710225 = 49244^2 + 11735^2 .

It is a cyclic number.

It is not a de Polignac number, because 2562681761 - 2¹⁰ = 2562680737 is a prime.

It is a super-2 number, since 2×2562681761² = 13134675616324122242, which contains 22 as substring.

Together with 2562681763, 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 (2562681763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1281340880 + 1281340881.

It is an arithmetic number, because the mean of its divisors is an integer number (1281340881).

Almost surely, 2^2562681761 is an apocalyptic number.

It is an amenable number.

2562681761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2562681761 is an equidigital number, since it uses as much as digits as its factorization.

2562681761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 241920, while the sum is 44.

The square root of 2562681761 is about 50622.9371036490. The cubic root of 2562681761 is about 1368.4582725966.

The spelling of 2562681761 in words is "two billion, five hundred sixty-two million, six hundred eighty-one thousand, seven hundred sixty-one".