10631791601 has 16 divisors (see below), whose sum is σ = 11259494400. Its totient is φ = 10011098448.

The previous prime is 10631791567. The next prime is 10631791627. The reversal of 10631791601 is 10619713601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10631791601 is a prime.

It is a super-3 number, since 3×10631791601³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10631791691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2231660 + ... + 2236418.

It is an arithmetic number, because the mean of its divisors is an integer number (703718400).

Almost surely, 2^10631791601 is an apocalyptic number.

It is an amenable number.

10631791601 is a deficient number, since it is larger than the sum of its proper divisors (627702799).

10631791601 is a wasteful number, since it uses less digits than its factorization.

10631791601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468.

The product of its (nonzero) digits is 6804, while the sum is 35.

The spelling of 10631791601 in words is "ten billion, six hundred thirty-one million, seven hundred ninety-one thousand, six hundred one".