10001000605509 has 24 divisors (see below), whose sum is σ = 15108946474752. Its totient is φ = 6362652737760.

The previous prime is 10001000605507. The next prime is 10001000605511. The reversal of 10001000605509 is 90550600010001.

10001000605509 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 0 + 0 + 0 + 605 + 50 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (10001000605507) and next prime (10001000605511).

It is not a de Polignac number, because 10001000605509 - 2¹ = 10001000605507 is a prime.

It is a super-2 number, since 2×10001000605509² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001000605507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55959522 + ... + 56137955.

It is an arithmetic number, because the mean of its divisors is an integer number (629539436448).

Almost surely, 2^{10001000605509} is an apocalyptic number.

It is an amenable number.

10001000605509 is a deficient number, since it is larger than the sum of its proper divisors (5107945869243).

10001000605509 is a wasteful number, since it uses less digits than its factorization.

10001000605509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112097937 (or 112097934 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The spelling of 10001000605509 in words is "ten trillion, one billion, six hundred five thousand, five hundred nine".