587628131 has 16 divisors (see below), whose sum is σ = 618377760. Its totient is φ = 557652480.

The previous prime is 587628121. The next prime is 587628133. The reversal of 587628131 is 131826785.

587628131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 587628131 - 2²⁶ = 520519267 is a prime.

It is a super-2 number, since 2×587628131² = 690613640685106322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (587628133) 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, 579581 + ... + 580593.

It is an arithmetic number, because the mean of its divisors is an integer number (38648610).

Almost surely, 2^587628131 is an apocalyptic number.

587628131 is a deficient number, since it is larger than the sum of its proper divisors (30749629).

587628131 is a wasteful number, since it uses less digits than its factorization.

587628131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366.

The product of its digits is 80640, while the sum is 41.

The square root of 587628131 is about 24241.0422836973. The cubic root of 587628131 is about 837.5952248151.

The spelling of 587628131 in words is "five hundred eighty-seven million, six hundred twenty-eight thousand, one hundred thirty-one".