261550575759 has 32 divisors (see below), whose sum is σ = 393879283200. Its totient is φ = 152923621760.

The previous prime is 261550575743. The next prime is 261550575773. The reversal of 261550575759 is 957575055162.

It is a cyclic number.

It is not a de Polignac number, because 261550575759 - 2⁴ = 261550575743 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 261550575699 and 261550575708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261550535759) 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, 1058677 + ... + 1282145.

It is an arithmetic number, because the mean of its divisors is an integer number (12308727600).

Almost surely, 2^261550575759 is an apocalyptic number.

261550575759 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

261550575759 is a deficient number, since it is larger than the sum of its proper divisors (132328707441).

261550575759 is a wasteful number, since it uses less digits than its factorization.

261550575759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224735.

The product of its (nonzero) digits is 16537500, while the sum is 57.

The spelling of 261550575759 in words is "two hundred sixty-one billion, five hundred fifty million, five hundred seventy-five thousand, seven hundred fifty-nine".