10004596035201 has 6 divisors (see below), whose sum is σ = 14451083161970. Its totient is φ = 6669730690128.

The previous prime is 10004596035157. The next prime is 10004596035211. The reversal of 10004596035201 is 10253069540001.

10004596035201 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 45 + 9 + 603 + 5 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7729506479601 + 2275089555600 = 2780199^2 + 1508340^2 .

It is not a de Polignac number, because 10004596035201 - 2⁷ = 10004596035073 is a prime.

It is a super-3 number, since 3×10004596035201³ (a number of 40 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 (10004596035211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555810890836 + ... + 555810890853.

Almost surely, 2^{10004596035201} is an apocalyptic number.

It is an amenable number.

10004596035201 is a deficient number, since it is larger than the sum of its proper divisors (4446487126769).

10004596035201 is a wasteful number, since it uses less digits than its factorization.

10004596035201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111621781695 (or 1111621781692 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 10004596035201 in words is "ten trillion, four billion, five hundred ninety-six million, thirty-five thousand, two hundred one".