71305888353 has 16 divisors (see below), whose sum is σ = 109202611200. Its totient is φ = 40541464656.

The previous prime is 71305888349. The next prime is 71305888363. The reversal of 71305888353 is 35388850317.

It is a happy number.

It is not a de Polignac number, because 71305888353 - 2² = 71305888349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71305888296 and 71305888305.

It is not an unprimeable number, because it can be changed into a prime (71305888333) 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 15 ways as a sum of consecutive naturals, for example, 8527275 + ... + 8535632.

It is an arithmetic number, because the mean of its divisors is an integer number (6825163200).

Almost surely, 2^71305888353 is an apocalyptic number.

It is an amenable number.

71305888353 is a deficient number, since it is larger than the sum of its proper divisors (37896722847).

71305888353 is a wasteful number, since it uses less digits than its factorization.

71305888353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17063116.

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 71305888353 in words is "seventy-one billion, three hundred five million, eight hundred eighty-eight thousand, three hundred fifty-three".