2561537967 has 16 divisors (see below), whose sum is σ = 3529663488. Its totient is φ = 1650680640.

The previous prime is 2561537959. The next prime is 2561537971. The reversal of 2561537967 is 7697351652.

It is not a de Polignac number, because 2561537967 - 2³ = 2561537959 is a prime.

It is a super-2 number, since 2×2561537967² = 13122953512764986178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561537947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66523 + ... + 97715.

It is an arithmetic number, because the mean of its divisors is an integer number (220603968).

Almost surely, 2^2561537967 is an apocalyptic number.

2561537967 is a deficient number, since it is larger than the sum of its proper divisors (968125521).

2561537967 is a wasteful number, since it uses less digits than its factorization.

2561537967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32110.

The product of its digits is 2381400, while the sum is 51.

The square root of 2561537967 is about 50611.6386515987. The cubic root of 2561537967 is about 1368.2546490186.

The spelling of 2561537967 in words is "two billion, five hundred sixty-one million, five hundred thirty-seven thousand, nine hundred sixty-seven".