2561512 has 32 divisors (see below), whose sum is σ = 5077800. Its totient is φ = 1209600.

The previous prime is 2561491. The next prime is 2561513. The reversal of 2561512 is 2151652.

2561512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 695556 + 1865956 = 834^2 + 1366^2 .

It is a super-2 number, since 2×2561512² = 13122687452288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2561513) 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 in 7 ways as a sum of consecutive naturals, for example, 14062 + ... + 14242.

2^2561512 is an apocalyptic number.

It is an amenable number.

2561512 is a deficient number, since it is larger than the sum of its proper divisors (2516288).

2561512 is a wasteful number, since it uses less digits than its factorization.

2561512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its digits is 600, while the sum is 22.

The square root of 2561512 is about 1600.4724302530. The cubic root of 2561512 is about 136.8250025548.

The spelling of 2561512 in words is "two million, five hundred sixty-one thousand, five hundred twelve".