2561652961 has 8 divisors (see below), whose sum is σ = 2930233280. Its totient is φ = 2193730128.

The previous prime is 2561652937. The next prime is 2561652983. The reversal of 2561652961 is 1692561652.

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 2561652961 - 2⁹ = 2561652449 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2561652061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155991 + ... + 171628.

It is an arithmetic number, because the mean of its divisors is an integer number (366279160).

Almost surely, 2^2561652961 is an apocalyptic number.

It is an amenable number.

2561652961 is a deficient number, since it is larger than the sum of its proper divisors (368580319).

2561652961 is a wasteful number, since it uses less digits than its factorization.

2561652961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328743.

The product of its digits is 194400, while the sum is 43.

The square root of 2561652961 is about 50612.7746818923. The cubic root of 2561652961 is about 1368.2751235308.

The spelling of 2561652961 in words is "two billion, five hundred sixty-one million, six hundred fifty-two thousand, nine hundred sixty-one".