10517010005506 has 64 divisors (see below), whose sum is σ = 16227249426432. Its totient is φ = 5110691040000.

The previous prime is 10517010005449. The next prime is 10517010005533. The reversal of 10517010005506 is 60550001071501.

It is a super-2 number, since 2×10517010005506² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1932205621 + ... + 1932211063.

It is an arithmetic number, because the mean of its divisors is an integer number (253550772288).

Almost surely, 2^{10517010005506} is an apocalyptic number.

10517010005506 is a deficient number, since it is larger than the sum of its proper divisors (5710239420926).

10517010005506 is a wasteful number, since it uses less digits than its factorization.

10517010005506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6319.

The product of its (nonzero) digits is 5250, while the sum is 31.

The spelling of 10517010005506 in words is "ten trillion, five hundred seventeen billion, ten million, five thousand, five hundred six".