71301100509 has 12 divisors (see below), whose sum is σ = 103646470876. Its totient is φ = 47231301312.

The previous prime is 71301100501. The next prime is 71301100513. The reversal of 71301100509 is 90500110317.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30083168025 + 41217932484 = 173445^2 + 203022^2 .

It is not a de Polignac number, because 71301100509 - 2³ = 71301100501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71301100501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25228984 + ... + 25231809.

Almost surely, 2^71301100509 is an apocalyptic number.

It is an amenable number.

71301100509 is a deficient number, since it is larger than the sum of its proper divisors (32345370367).

71301100509 is a wasteful number, since it uses less digits than its factorization.

71301100509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50460956 (or 50460953 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The spelling of 71301100509 in words is "seventy-one billion, three hundred one million, one hundred thousand, five hundred nine".