2561261032 has 32 divisors (see below), whose sum is σ = 5277208320. Its totient is φ = 1155706240.

The previous prime is 2561260973. The next prime is 2561261039. The reversal of 2561261032 is 2301621652.

It is a super-3 number, since 3×2561261032³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2561261039) 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, 94168 + ... + 118279.

It is an arithmetic number, because the mean of its divisors is an integer number (164912760).

Almost surely, 2^2561261032 is an apocalyptic number.

2561261032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2561261032 is an abundant number, since it is smaller than the sum of its proper divisors (2715947288).

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

2561261032 is a wasteful number, since it uses less digits than its factorization.

2561261032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212601 (or 212597 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2561261032 is about 50608.9026950793. The cubic root of 2561261032 is about 1368.2053386353.

Adding to 2561261032 its reverse (2301621652), we get a palindrome (4862882684).

The spelling of 2561261032 in words is "two billion, five hundred sixty-one million, two hundred sixty-one thousand, thirty-two".