261345313260600 has 192 divisors, whose sum is σ = 859035925324800. Its totient is φ = 65542151162880.

The previous prime is 261345313260599. The next prime is 261345313260613. The reversal of 261345313260600 is 6062313543162.

It is a super-2 number, since 2×261345313260600² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82106184 + ... + 85229783.

It is an arithmetic number, because the mean of its divisors is an integer number (4474145444400).

Almost surely, 2^{261345313260600} is an apocalyptic number.

261345313260600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261345313260600 is an abundant number, since it is smaller than the sum of its proper divisors (597690612064200).

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

261345313260600 is a wasteful number, since it uses less digits than its factorization.

261345313260600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167336142 (or 167336133 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 261345313260600 in words is "two hundred sixty-one trillion, three hundred forty-five billion, three hundred thirteen million, two hundred sixty thousand, six hundred".