51588867217 has 16 divisors (see below), whose sum is σ = 53436948480. Its totient is φ = 49752561600.

The previous prime is 51588867181. The next prime is 51588867229. The reversal of 51588867217 is 71276888515.

It is a cyclic number.

It is not a de Polignac number, because 51588867217 - 2²⁷ = 51454649489 is a prime.

It is a super-2 number, since 2×51588867217² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (7526400) is a multiple of the sum of its prime divisors (4704).

It is not an unprimeable number, because it can be changed into a prime (51588867017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17917584 + ... + 17920462.

It is an arithmetic number, because the mean of its divisors is an integer number (3339809280).

Almost surely, 2^51588867217 is an apocalyptic number.

It is an amenable number.

51588867217 is a deficient number, since it is larger than the sum of its proper divisors (1848081263).

51588867217 is a wasteful number, since it uses less digits than its factorization.

51588867217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704.

The product of its digits is 7526400, while the sum is 58.

The spelling of 51588867217 in words is "fifty-one billion, five hundred eighty-eight million, eight hundred sixty-seven thousand, two hundred seventeen".