2551599961 has 8 divisors (see below), whose sum is σ = 2557478664. Its totient is φ = 2545729920.

The previous prime is 2551599959. The next prime is 2551599979. The reversal of 2551599961 is 1699951552.

It can be written as a sum of positive squares in 4 ways, for example, as 11943936 + 2539656025 = 3456^2 + 50395^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2551599961 - 2¹ = 2551599959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2551599899 and 2551599908.

It is not an unprimeable number, because it can be changed into a prime (2551599901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1184061 + ... + 1186213.

It is an arithmetic number, because the mean of its divisors is an integer number (319684833).

Almost surely, 2^2551599961 is an apocalyptic number.

It is an amenable number.

2551599961 is a deficient number, since it is larger than the sum of its proper divisors (5878703).

2551599961 is a wasteful number, since it uses less digits than its factorization.

2551599961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331.

The product of its digits is 1093500, while the sum is 52.

The square root of 2551599961 is about 50513.3641821647. The cubic root of 2551599961 is about 1366.4828819358.

The spelling of 2551599961 in words is "two billion, five hundred fifty-one million, five hundred ninety-nine thousand, nine hundred sixty-one".