71554133145517 has 12 divisors (see below), whose sum is σ = 79429127765148. Its totient is φ = 64405160336000.

The previous prime is 71554133145479. The next prime is 71554133145589.

71554133145517 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 48112451906596 + 23441681238921 = 6936314^2 + 4841661^2 .

It is not a de Polignac number, because 71554133145517 - 2¹⁹ = 71554132621229 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 (71554133185517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2927495068 + ... + 2927519509.

It is an arithmetic number, because the mean of its divisors is an integer number (6619093980429).

Almost surely, 2^{71554133145517} is an apocalyptic number.

It is an amenable number.

71554133145517 is a deficient number, since it is larger than the sum of its proper divisors (7874994619631).

71554133145517 is a wasteful number, since it uses less digits than its factorization.

71554133145517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855014700 (or 5855014689 counting only the distinct ones).

The product of its digits is 4410000, while the sum is 52.

The spelling of 71554133145517 in words is "seventy-one trillion, five hundred fifty-four billion, one hundred thirty-three million, one hundred forty-five thousand, five hundred seventeen".