10008133527 has 48 divisors (see below), whose sum is σ = 16150659072. Its totient is φ = 5490555840.

The previous prime is 10008133523. The next prime is 10008133547. The reversal of 10008133527 is 72533180001.

It is not a de Polignac number, because 10008133527 - 2² = 10008133523 is a prime.

It is a super-2 number, since 2×10008133527² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10008133494 and 10008133503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008133523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 570093 + ... + 587385.

It is an arithmetic number, because the mean of its divisors is an integer number (336472064).

Almost surely, 2^10008133527 is an apocalyptic number.

10008133527 is a deficient number, since it is larger than the sum of its proper divisors (6142525545).

10008133527 is a wasteful number, since it uses less digits than its factorization.

10008133527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17468 (or 17461 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 10008133527 in words is "ten billion, eight million, one hundred thirty-three thousand, five hundred twenty-seven".