511981129 has 21 divisors (see below), whose sum is σ = 598256119. Its totient is φ = 438058720.

The previous prime is 511981121. The next prime is 511981147. The reversal of 511981129 is 921189115.

The square root of 511981129 is 22627.

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., 398601225 + 113379904 = 19965^2 + 10648^2 .

It is not a de Polignac number, because 511981129 - 2³ = 511981121 is a prime.

It is a super-2 number, since 2×511981129² = 524249352904229282, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (511981121) 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 20 ways as a sum of consecutive naturals, for example, 30116529 + ... + 30116545.

Almost surely, 2^511981129 is an apocalyptic number.

511981129 is the 22627-th square number.

511981129 is the 11314-th centered octagonal number.

It is an amenable number.

511981129 is a deficient number, since it is larger than the sum of its proper divisors (86274990).

511981129 is an frugal number, since it uses more digits than its factorization.

511981129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 28 counting only the distinct ones).

The product of its digits is 6480, while the sum is 37.

The cubic root of 511981129 is about 799.9901712334.

The spelling of 511981129 in words is "five hundred eleven million, nine hundred eighty-one thousand, one hundred twenty-nine".