261165101125 has 32 divisors (see below), whose sum is σ = 330533210592. Its totient is φ = 205986240000.

The previous prime is 261165101107. The next prime is 261165101137. The reversal of 261165101125 is 521101561162.

261165101125 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 16 ways, for example, as 41596010401 + 219569090724 = 203951^2 + 468582^2 .

It is not a de Polignac number, because 261165101125 - 2³³ = 252575166533 is a prime.

It is a Duffinian number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 32234575 + ... + 32242675.

It is an arithmetic number, because the mean of its divisors is an integer number (10329162831).

Almost surely, 2^261165101125 is an apocalyptic number.

261165101125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261165101125 is a deficient number, since it is larger than the sum of its proper divisors (69368109467).

261165101125 is an equidigital number, since it uses as much as digits as its factorization.

261165101125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11722 (or 11712 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 31.

Adding to 261165101125 its reverse (521101561162), we get a palindrome (782266662287).

The spelling of 261165101125 in words is "two hundred sixty-one billion, one hundred sixty-five million, one hundred one thousand, one hundred twenty-five".