2561264733 has 32 divisors (see below), whose sum is σ = 3730636800. Its totient is φ = 1557057600.

The previous prime is 2561264729. The next prime is 2561264743. The reversal of 2561264733 is 3374621652.

2561264733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2561264733 - 2² = 2561264729 is a prime.

It is a super-2 number, since 2×2561264733² = 13120154065019122578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2561264691 and 2561264700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561264743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333703 + ... + 341291.

It is an arithmetic number, because the mean of its divisors is an integer number (116582400).

Almost surely, 2^2561264733 is an apocalyptic number.

It is an amenable number.

2561264733 is a deficient number, since it is larger than the sum of its proper divisors (1169372067).

2561264733 is a wasteful number, since it uses less digits than its factorization.

2561264733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7833.

The product of its digits is 181440, while the sum is 39.

The square root of 2561264733 is about 50608.9392597790. The cubic root of 2561264733 is about 1368.2059976499.

The spelling of 2561264733 in words is "two billion, five hundred sixty-one million, two hundred sixty-four thousand, seven hundred thirty-three".