8672585101 has 2 divisors, whose sum is σ = 8672585102. Its totient is φ = 8672585100.

The previous prime is 8672585069. The next prime is 8672585143. The reversal of 8672585101 is 1015852768.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8672451876 + 133225 = 93126^2 + 365^2 .

It is a cyclic number.

It is not a de Polignac number, because 8672585101 - 2⁵ = 8672585069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8672585191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4336292550 + 4336292551.

It is an arithmetic number, because the mean of its divisors is an integer number (4336292551).

Almost surely, 2^8672585101 is an apocalyptic number.

It is an amenable number.

8672585101 is a deficient number, since it is larger than the sum of its proper divisors (1).

8672585101 is an equidigital number, since it uses as much as digits as its factorization.

8672585101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 134400, while the sum is 43.

The square root of 8672585101 is about 93126.7152915854. The cubic root of 8672585101 is about 2054.5475173892.

The spelling of 8672585101 in words is "eight billion, six hundred seventy-two million, five hundred eighty-five thousand, one hundred one".