261606125 has 32 divisors (see below), whose sum is σ = 362119680. Its totient is φ = 187080000.

The previous prime is 261606097. The next prime is 261606127. The reversal of 261606125 is 521606162.

It is not a de Polignac number, because 261606125 - 2¹⁰ = 261605101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261606127) by changing a digit.

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, 82316 + ... + 85434.

It is an arithmetic number, because the mean of its divisors is an integer number (11316240).

Almost surely, 2^261606125 is an apocalyptic number.

261606125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261606125 is a deficient number, since it is larger than the sum of its proper divisors (100513555).

261606125 is a wasteful number, since it uses less digits than its factorization.

261606125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 261606125 is about 16174.2426406926. The cubic root of 261606125 is about 639.5619764844.

The spelling of 261606125 in words is "two hundred sixty-one million, six hundred six thousand, one hundred twenty-five".