512981 has 18 divisors (see below), whose sum is σ = 651510. Its totient is φ = 402192.

The previous prime is 512977. The next prime is 512989. The reversal of 512981 is 189215.

512981 = 20³ + 21³ + ... + 38³.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 442225 + 70756 = 665^2 + 266^2 .

It is not a de Polignac number, because 512981 - 2² = 512977 is a prime.

It is a super-2 number, since 2×512981² = 526299012722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 512981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17675 + ... + 17703.

It is an arithmetic number, because the mean of its divisors is an integer number (36195).

2⁵¹²⁹⁸¹ is an apocalyptic number.

It is an amenable number.

512981 is a deficient number, since it is larger than the sum of its proper divisors (138529).

512981 is a wasteful number, since it uses less digits than its factorization.

512981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 55 counting only the distinct ones).

The product of its digits is 720, while the sum is 26.

The square root of 512981 is about 716.2269193489. The cubic root of 512981 is about 80.0510611525.

The spelling of 512981 in words is "five hundred twelve thousand, nine hundred eighty-one".