2552523761 has 2 divisors, whose sum is σ = 2552523762. Its totient is φ = 2552523760.

The previous prime is 2552523737. The next prime is 2552523763. The reversal of 2552523761 is 1673252552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2532102400 + 20421361 = 50320^2 + 4519^2 .

It is a cyclic number.

It is not a de Polignac number, because 2552523761 - 2³⁰ = 1478781937 is a prime.

Together with 2552523763, 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 (2552523763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276261880 + 1276261881.

It is an arithmetic number, because the mean of its divisors is an integer number (1276261881).

Almost surely, 2^2552523761 is an apocalyptic number.

It is an amenable number.

2552523761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2552523761 is an equidigital number, since it uses as much as digits as its factorization.

2552523761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126000, while the sum is 38.

The square root of 2552523761 is about 50522.5074694438. The cubic root of 2552523761 is about 1366.6477725394.

The spelling of 2552523761 in words is "two billion, five hundred fifty-two million, five hundred twenty-three thousand, seven hundred sixty-one".