2635645757 has 2 divisors, whose sum is σ = 2635645758. Its totient is φ = 2635645756.

The previous prime is 2635645751. The next prime is 2635645759. The reversal of 2635645757 is 7575465362.

2635645757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2467009561 + 168636196 = 49669^2 + 12986^2 .

It is a cyclic number.

It is not a de Polignac number, because 2635645757 - 2²⁴ = 2618868541 is a prime.

Together with 2635645759, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2635645751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1317822878 + 1317822879.

It is an arithmetic number, because the mean of its divisors is an integer number (1317822879).

Almost surely, 2^2635645757 is an apocalyptic number.

It is an amenable number.

2635645757 is a deficient number, since it is larger than the sum of its proper divisors (1).

2635645757 is an equidigital number, since it uses as much as digits as its factorization.

2635645757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5292000, while the sum is 50.

The square root of 2635645757 is about 51338.5406590409. The cubic root of 2635645757 is about 1381.3243879267.

The spelling of 2635645757 in words is "two billion, six hundred thirty-five million, six hundred forty-five thousand, seven hundred fifty-seven".