512081973 has 32 divisors (see below), whose sum is σ = 865065600. Its totient is φ = 296587008.

The previous prime is 512081957. The next prime is 512081989. The reversal of 512081973 is 379180215.

It is an interprime number because it is at equal distance from previous prime (512081957) and next prime (512081989).

It is not a de Polignac number, because 512081973 - 2⁴ = 512081957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512081993) 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 31 ways as a sum of consecutive naturals, for example, 36943 + ... + 48876.

It is an arithmetic number, because the mean of its divisors is an integer number (27033300).

Almost surely, 2^512081973 is an apocalyptic number.

It is an amenable number.

512081973 is a deficient number, since it is larger than the sum of its proper divisors (352983627).

512081973 is a wasteful number, since it uses less digits than its factorization.

512081973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85858 (or 85852 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 512081973 is about 22629.2282899793. The cubic root of 512081973 is about 800.0426919925.

The spelling of 512081973 in words is "five hundred twelve million, eighty-one thousand, nine hundred seventy-three".