71584048517 has 4 divisors (see below), whose sum is σ = 71594359776. Its totient is φ = 71573737260.

The previous prime is 71584048507. The next prime is 71584048531.

It is a happy number.

71584048517 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 71584048517 - 2¹² = 71584044421 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 (71584048507) 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 3 ways as a sum of consecutive naturals, for example, 5145209 + ... + 5159102.

It is an arithmetic number, because the mean of its divisors is an integer number (17898589944).

Almost surely, 2^71584048517 is an apocalyptic number.

It is an amenable number.

71584048517 is a deficient number, since it is larger than the sum of its proper divisors (10311259).

71584048517 is a wasteful number, since it uses less digits than its factorization.

71584048517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10311258.

The product of its (nonzero) digits is 1254400, while the sum is 50.

The spelling of 71584048517 in words is "seventy-one billion, five hundred eighty-four million, forty-eight thousand, five hundred seventeen".