10006451001 has 24 divisors (see below), whose sum is σ = 15086635200. Its totient is φ = 6379043616.

The previous prime is 10006450991. The next prime is 10006451003. The reversal of 10006451001 is 10015460001.

10006451001 is a `hidden beast` number, since 10 + 0 + 0 + 645 + 10 + 0 + 1 = 666.

10006451001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10006451001 - 2²⁶ = 9939342137 is a prime.

It is a super-4 number, since 4×10006451001⁴ (a number of 41 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10006451003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1145950 + ... + 1154648.

It is an arithmetic number, because the mean of its divisors is an integer number (628609800).

Almost surely, 2^10006451001 is an apocalyptic number.

It is an amenable number.

10006451001 is a deficient number, since it is larger than the sum of its proper divisors (5080184199).

10006451001 is a wasteful number, since it uses less digits than its factorization.

10006451001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14285 (or 14282 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 10006451001 in words is "ten billion, six million, four hundred fifty-one thousand, one".