217072012311 has 24 divisors (see below), whose sum is σ = 390917564544. Its totient is φ = 112764681360.

The previous prime is 217072012277. The next prime is 217072012357. The reversal of 217072012311 is 113210270712.

It is not a de Polignac number, because 217072012311 - 2²² = 217067818007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217072012211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156616921 + ... + 156618306.

It is an arithmetic number, because the mean of its divisors is an integer number (16288231856).

Almost surely, 2^217072012311 is an apocalyptic number.

217072012311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

217072012311 is a deficient number, since it is larger than the sum of its proper divisors (173845552233).

217072012311 is a wasteful number, since it uses less digits than its factorization.

217072012311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313235251 (or 313235248 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 217072012311 in words is "two hundred seventeen billion, seventy-two million, twelve thousand, three hundred eleven".