656006505 has 64 divisors (see below), whose sum is σ = 1330200576. Its totient is φ = 268128000.

The previous prime is 656006501. The next prime is 656006513. The reversal of 656006505 is 505600656.

It is not a de Polignac number, because 656006505 - 2² = 656006501 is a prime.

It is a super-3 number, since 3×656006505³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (656006501) 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 63 ways as a sum of consecutive naturals, for example, 65800 + ... + 75110.

It is an arithmetic number, because the mean of its divisors is an integer number (20784384).

Almost surely, 2^656006505 is an apocalyptic number.

It is an amenable number.

656006505 is an abundant number, since it is smaller than the sum of its proper divisors (674194071).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

656006505 is a wasteful number, since it uses less digits than its factorization.

656006505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9398.

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 656006505 is about 25612.6239382067. The cubic root of 656006505 is about 868.8991691820.

The spelling of 656006505 in words is "six hundred fifty-six million, six thousand, five hundred five".