2521635761 has 2 divisors, whose sum is σ = 2521635762. Its totient is φ = 2521635760.

The previous prime is 2521635737. The next prime is 2521635763. The reversal of 2521635761 is 1675361252.

It is a happy number.

2521635761 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., 2107269025 + 414366736 = 45905^2 + 20356^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2521635761 is a prime.

It is a super-2 number, since 2×2521635761² = 12717293822308098242, which contains 22 as substring.

Together with 2521635763, 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 (2521635763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1260817880 + 1260817881.

It is an arithmetic number, because the mean of its divisors is an integer number (1260817881).

Almost surely, 2^2521635761 is an apocalyptic number.

It is an amenable number.

2521635761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2521635761 is an equidigital number, since it uses as much as digits as its factorization.

2521635761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 75600, while the sum is 38.

The square root of 2521635761 is about 50215.8915185223. The cubic root of 2521635761 is about 1361.1128004715.

The spelling of 2521635761 in words is "two billion, five hundred twenty-one million, six hundred thirty-five thousand, seven hundred sixty-one".