2552261681 has 2 divisors, whose sum is σ = 2552261682. Its totient is φ = 2552261680.

The previous prime is 2552261669. The next prime is 2552261711. The reversal of 2552261681 is 1861622552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1867968400 + 684293281 = 43220^2 + 26159^2 .

It is a cyclic number.

It is not a de Polignac number, because 2552261681 - 2²² = 2548067377 is a prime.

It is a super-2 number, since 2×2552261681² = 13028079376601891522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2552261581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276130840 + 1276130841.

It is an arithmetic number, because the mean of its divisors is an integer number (1276130841).

Almost surely, 2^2552261681 is an apocalyptic number.

It is an amenable number.

2552261681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2552261681 is an equidigital number, since it uses as much as digits as its factorization.

2552261681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 57600, while the sum is 38.

The square root of 2552261681 is about 50519.9137073689. The cubic root of 2552261681 is about 1366.6009974858.

The spelling of 2552261681 in words is "two billion, five hundred fifty-two million, two hundred sixty-one thousand, six hundred eighty-one".