261605127 has 16 divisors (see below), whose sum is σ = 403441920. Its totient is φ = 147686592.

The previous prime is 261605119. The next prime is 261605159. The reversal of 261605127 is 721506162.

It is not a de Polignac number, because 261605127 - 2³ = 261605119 is a prime.

It is a super-2 number, since 2×261605127² = 136874484945372258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 261605094 and 261605103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261605107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73302 + ... + 76787.

It is an arithmetic number, because the mean of its divisors is an integer number (25215120).

Almost surely, 2^261605127 is an apocalyptic number.

261605127 is a deficient number, since it is larger than the sum of its proper divisors (141836793).

261605127 is a wasteful number, since it uses less digits than its factorization.

261605127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150182.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 261605127 is about 16174.2117891414. The cubic root of 261605127 is about 639.5611631960.

The spelling of 261605127 in words is "two hundred sixty-one million, six hundred five thousand, one hundred twenty-seven".