2561112312 has 64 divisors (see below), whose sum is σ = 6989362560. Its totient is φ = 775593600.

The previous prime is 2561112311. The next prime is 2561112331. The reversal of 2561112312 is 2132111652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561112311) 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 15 ways as a sum of consecutive naturals, for example, 738262 + ... + 741722.

It is an arithmetic number, because the mean of its divisors is an integer number (109208790).

Almost surely, 2^2561112312 is an apocalyptic number.

2561112312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2561112312 is an abundant number, since it is smaller than the sum of its proper divisors (4428250248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2561112312 is a wasteful number, since it uses less digits than its factorization.

2561112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284 (or 6280 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 2561112312 is about 50607.4333670460. The cubic root of 2561112312 is about 1368.1788564410.

Adding to 2561112312 its reverse (2132111652), we get a palindrome (4693223964).

The spelling of 2561112312 in words is "two billion, five hundred sixty-one million, one hundred twelve thousand, three hundred twelve".