261760580225 has 24 divisors (see below), whose sum is σ = 325186593720. Its totient is φ = 209019456000.

The previous prime is 261760580219. The next prime is 261760580261. The reversal of 261760580225 is 522085067162.

261760580225 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 12 ways, for example, as 109523269249 + 152237310976 = 330943^2 + 390176^2 .

It is not a de Polignac number, because 261760580225 - 2²⁸ = 261492144769 is a prime.

It is a super-2 number, since 2×261760580225² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61429595 + ... + 61433855.

It is an arithmetic number, because the mean of its divisors is an integer number (13549441405).

Almost surely, 2^261760580225 is an apocalyptic number.

261760580225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261760580225 is a deficient number, since it is larger than the sum of its proper divisors (63426013495).

261760580225 is a wasteful number, since it uses less digits than its factorization.

261760580225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 261760580225 in words is "two hundred sixty-one billion, seven hundred sixty million, five hundred eighty thousand, two hundred twenty-five".