71135853117 has 64 divisors (see below), whose sum is σ = 115576934400. Its totient is φ = 38041749504.

The previous prime is 71135853101. The next prime is 71135853119.

71135853117 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 71135853117 - 2⁴ = 71135853101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71135853119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4814413 + ... + 4829165.

It is an arithmetic number, because the mean of its divisors is an integer number (1805889600).

Almost surely, 2^71135853117 is an apocalyptic number.

It is an amenable number.

71135853117 is a deficient number, since it is larger than the sum of its proper divisors (44441081283).

71135853117 is a wasteful number, since it uses less digits than its factorization.

71135853117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15002.

The product of its digits is 88200, while the sum is 42.

The spelling of 71135853117 in words is "seventy-one billion, one hundred thirty-five million, eight hundred fifty-three thousand, one hundred seventeen".