10006530852657 has 16 divisors (see below), whose sum is σ = 14127165806400. Its totient is φ = 6278474829312.

The previous prime is 10006530852649. The next prime is 10006530852677. The reversal of 10006530852657 is 75625803560001.

It is not a de Polignac number, because 10006530852657 - 2³ = 10006530852649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10006530852677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389469 + ... + 4490517.

It is an arithmetic number, because the mean of its divisors is an integer number (882947862900).

Almost surely, 2^{10006530852657} is an apocalyptic number.

10006530852657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10006530852657 is a deficient number, since it is larger than the sum of its proper divisors (4120634953743).

10006530852657 is a wasteful number, since it uses less digits than its factorization.

10006530852657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148912.

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 10006530852657 in words is "ten trillion, six billion, five hundred thirty million, eight hundred fifty-two thousand, six hundred fifty-seven".