81007353217 has 16 divisors (see below), whose sum is σ = 94394529792. Its totient is φ = 68081037120.

The previous prime is 81007353199. The next prime is 81007353221. The reversal of 81007353217 is 71235370018.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-81007353217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81007353247) 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 15 ways as a sum of consecutive naturals, for example, 163873 + ... + 434590.

It is an arithmetic number, because the mean of its divisors is an integer number (5899658112).

Almost surely, 2^81007353217 is an apocalyptic number.

It is an amenable number.

81007353217 is a deficient number, since it is larger than the sum of its proper divisors (13387176575).

81007353217 is a wasteful number, since it uses less digits than its factorization.

81007353217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598848.

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 81007353217 in words is "eighty-one billion, seven million, three hundred fifty-three thousand, two hundred seventeen".