71352455425317 has 16 divisors (see below), whose sum is σ = 115317099677760. Its totient is φ = 43243912378800.

The previous prime is 71352455425297. The next prime is 71352455425319.

71352455425317 is a `hidden beast` number, since 7 + 1 + 3 + 5 + 2 + 45 + 542 + 53 + 1 + 7 = 666.

71352455425317 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 71352455425317 - 2⁸ = 71352455425061 is a prime.

It is a super-3 number, since 3×71352455425317³ (a number of 43 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71352455425319) 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 15 ways as a sum of consecutive naturals, for example, 120121978534 + ... + 120121979127.

It is an arithmetic number, because the mean of its divisors is an integer number (7207318729860).

Almost surely, 2^{71352455425317} is an apocalyptic number.

It is an amenable number.

71352455425317 is a deficient number, since it is larger than the sum of its proper divisors (43964644252443).

71352455425317 is a wasteful number, since it uses less digits than its factorization.

71352455425317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240243957681 (or 240243957675 counting only the distinct ones).

The product of its digits is 17640000, while the sum is 54.

The spelling of 71352455425317 in words is "seventy-one trillion, three hundred fifty-two billion, four hundred fifty-five million, four hundred twenty-five thousand, three hundred seventeen".