261553314315225 has 48 divisors (see below), whose sum is σ = 438897326551040. Its totient is φ = 137410497576000.

The previous prime is 261553314315157. The next prime is 261553314315229. The reversal of 261553314315225 is 522513413355162.

It is not a de Polignac number, because 261553314315225 - 2⁹ = 261553314314713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (261553314315229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282742200 + ... + 283665750.

Almost surely, 2^{261553314315225} is an apocalyptic number.

261553314315225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261553314315225 is a deficient number, since it is larger than the sum of its proper divisors (177344012235815).

261553314315225 is a wasteful number, since it uses less digits than its factorization.

261553314315225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979990 (or 979985 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 48.

The spelling of 261553314315225 in words is "two hundred sixty-one trillion, five hundred fifty-three billion, three hundred fourteen million, three hundred fifteen thousand, two hundred twenty-five".