512977201 has 27 divisors (see below), whose sum is σ = 592305259. Its totient is φ = 443920400.

The previous prime is 512977187. The next prime is 512977237. The reversal of 512977201 is 102779215.

The square root of 512977201 is 22649.

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., 268992801 + 243984400 = 16401^2 + 15620^2 .

It is not a de Polignac number, because 512977201 - 2⁵ = 512977169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (512977271) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7224996 + ... + 7225066.

Almost surely, 2^512977201 is an apocalyptic number.

512977201 is the 22649-th square number.

512977201 is the 11325-th centered octagonal number.

It is an amenable number.

512977201 is a deficient number, since it is larger than the sum of its proper divisors (79328058).

512977201 is an equidigital number, since it uses as much as digits as its factorization.

512977201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

The cubic root of 512977201 is about 800.5086353982.

The spelling of 512977201 in words is "five hundred twelve million, nine hundred seventy-seven thousand, two hundred one".