35666563401 has 36 divisors (see below), whose sum is σ = 61549276932. Its totient is φ = 19830049344.

The previous prime is 35666563379. The next prime is 35666563403. The reversal of 35666563401 is 10436566653.

It can be written as a sum of positive squares in 2 ways, for example, as 34392073401 + 1274490000 = 185451^2 + 35700^2 .

It is not a de Polignac number, because 35666563401 - 2³¹ = 33519079753 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (35666563403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1076610 + ... + 1109243.

It is an arithmetic number, because the mean of its divisors is an integer number (1709702137).

Almost surely, 2^35666563401 is an apocalyptic number.

It is an amenable number.

35666563401 is a deficient number, since it is larger than the sum of its proper divisors (25882713531).

35666563401 is a wasteful number, since it uses less digits than its factorization.

35666563401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185910 (or 2185900 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 35666563401 in words is "thirty-five billion, six hundred sixty-six million, five hundred sixty-three thousand, four hundred one".