61634198475261 has 48 divisors (see below), whose sum is σ = 89477405222400. Its totient is φ = 40882339491840.

The previous prime is 61634198475253. The next prime is 61634198475373. The reversal of 61634198475261 is 16257489143616.

61634198475261 is a `hidden beast` number, since 6 + 1 + 63 + 4 + 1 + 9 + 8 + 47 + 526 + 1 = 666.

It is not a de Polignac number, because 61634198475261 - 2³ = 61634198475253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61634198475961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2254593585 + ... + 2254620921.

It is an arithmetic number, because the mean of its divisors is an integer number (1864112608800).

Almost surely, 2^{61634198475261} is an apocalyptic number.

It is an amenable number.

61634198475261 is a deficient number, since it is larger than the sum of its proper divisors (27843206747139).

61634198475261 is a wasteful number, since it uses less digits than its factorization.

61634198475261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29346 (or 29343 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 61634198475261 in words is "sixty-one trillion, six hundred thirty-four billion, one hundred ninety-eight million, four hundred seventy-five thousand, two hundred sixty-one".