10005056005 has 64 divisors (see below), whose sum is σ = 15165480960. Its totient is φ = 6178132224.

The previous prime is 10005055993. The next prime is 10005056021. The reversal of 10005056005 is 50065050001.

It is a cyclic number.

It is not a de Polignac number, because 10005056005 - 2⁷ = 10005055877 is a prime.

It is a super-2 number, since 2×10005056005² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2552307 + ... + 2556223.

It is an arithmetic number, because the mean of its divisors is an integer number (236960640).

Almost surely, 2^10005056005 is an apocalyptic number.

It is an amenable number.

10005056005 is a deficient number, since it is larger than the sum of its proper divisors (5160424955).

10005056005 is a wasteful number, since it uses less digits than its factorization.

10005056005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138.

The product of its (nonzero) digits is 750, while the sum is 22.

The spelling of 10005056005 in words is "ten billion, five million, fifty-six thousand, five".