587306116881 has 45 divisors (see below), whose sum is σ = 964466734539. Its totient is φ = 355897119600.

The previous prime is 587306116871. The next prime is 587306116889. The reversal of 587306116881 is 188611603785.

The square root of 587306116881 is 766359.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 120680506881 + 466625610000 = 347391^2 + 683100^2 .

It is not a de Polignac number, because 587306116881 - 2²³ = 587297728273 is a prime.

It is a super-2 number, since 2×587306116881² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (587306116889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 75865671 + ... + 75873411.

Almost surely, 2^587306116881 is an apocalyptic number.

587306116881 is the 766359-th square number.

587306116881 is the 383180-th centered octagonal number.

It is an amenable number.

587306116881 is a deficient number, since it is larger than the sum of its proper divisors (377160617658).

587306116881 is an frugal number, since it uses more digits than its factorization.

587306116881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15516 (or 7755 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 587306116881 in words is "five hundred eighty-seven billion, three hundred six million, one hundred sixteen thousand, eight hundred eighty-one".