35631664056261 has 64 divisors (see below), whose sum is σ = 65000555827200. Its totient is φ = 18785715576768.

The previous prime is 35631664056253. The next prime is 35631664056277. The reversal of 35631664056261 is 16265046613653.

35631664056261 is a `hidden beast` number, since 3 + 5 + 6 + 3 + 1 + 6 + 6 + 4 + 0 + 5 + 626 + 1 = 666.

It is not a de Polignac number, because 35631664056261 - 2³ = 35631664056253 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 35631664056198 and 35631664056207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35631664056211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1653370 + ... + 8602148.

It is an arithmetic number, because the mean of its divisors is an integer number (1015633684800).

Almost surely, 2^{35631664056261} is an apocalyptic number.

It is an amenable number.

35631664056261 is a deficient number, since it is larger than the sum of its proper divisors (29368891770939).

35631664056261 is a wasteful number, since it uses less digits than its factorization.

35631664056261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6950895 (or 6950889 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 35631664056261 in words is "thirty-five trillion, six hundred thirty-one billion, six hundred sixty-four million, fifty-six thousand, two hundred sixty-one".