261432646101 has 72 divisors (see below), whose sum is σ = 433588716288. Its totient is φ = 151391908800.

The previous prime is 261432646093. The next prime is 261432646103. The reversal of 261432646101 is 101646234162.

261432646101 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 3 + 2 + 646 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 261432646101 - 2³ = 261432646093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261432646103) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 25567876 + ... + 25578098.

It is an arithmetic number, because the mean of its divisors is an integer number (6022065504).

Almost surely, 2^261432646101 is an apocalyptic number.

It is an amenable number.

261432646101 is a deficient number, since it is larger than the sum of its proper divisors (172156070187).

261432646101 is a wasteful number, since it uses less digits than its factorization.

261432646101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11295 (or 11281 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 261432646101 in words is "two hundred sixty-one billion, four hundred thirty-two million, six hundred forty-six thousand, one hundred one".