990506006505 has 24 divisors (see below), whose sum is σ = 1716900449472. Its totient is φ = 528262678944.

The previous prime is 990506006401. The next prime is 990506006549. The reversal of 990506006505 is 505600605099.

990506006505 is a `hidden beast` number, since 9 + 90 + 50 + 6 + 0 + 0 + 6 + 505 = 666.

It is not a de Polignac number, because 990506006505 - 2⁷ = 990506006377 is a prime.

It is a super-2 number, since 2×990506006505² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5719092 + ... + 5889738.

It is an arithmetic number, because the mean of its divisors is an integer number (71537518728).

Almost surely, 2^990506006505 is an apocalyptic number.

It is an amenable number.

990506006505 is a deficient number, since it is larger than the sum of its proper divisors (726394442967).

990506006505 is a wasteful number, since it uses less digits than its factorization.

990506006505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299645 (or 299642 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 990506006505 in words is "nine hundred ninety billion, five hundred six million, six thousand, five hundred five".