656006510165601 has 32 divisors (see below), whose sum is σ = 1002280427043840. Its totient is φ = 373866593236416.

The previous prime is 656006510165557. The next prime is 656006510165641. The reversal of 656006510165601 is 106561015600656.

It is not a de Polignac number, because 656006510165601 - 2²⁷ = 656006375947873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (656006510165641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614195710 + ... + 615262856.

It is an arithmetic number, because the mean of its divisors is an integer number (31321263345120).

Almost surely, 2^{656006510165601} is an apocalyptic number.

It is an amenable number.

656006510165601 is a deficient number, since it is larger than the sum of its proper divisors (346273916878239).

656006510165601 is a wasteful number, since it uses less digits than its factorization.

656006510165601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144773.

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 656006510165601 in words is "six hundred fifty-six trillion, six billion, five hundred ten million, one hundred sixty-five thousand, six hundred one".