512385601 has 24 divisors (see below), whose sum is σ = 664047720. Its totient is φ = 391410432.

The previous prime is 512385571. The next prime is 512385611. The reversal of 512385601 is 106583215.

It can be written as a sum of positive squares in 4 ways, for example, as 87984400 + 424401201 = 9380^2 + 20601^2 .

It is not a de Polignac number, because 512385601 - 2⁷ = 512385473 is a prime.

It is a super-2 number, since 2×512385601² = 525078008224262402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (512385611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4605 + ... + 32341.

It is an arithmetic number, because the mean of its divisors is an integer number (27668655).

Almost surely, 2^512385601 is an apocalyptic number.

It is an amenable number.

512385601 is a deficient number, since it is larger than the sum of its proper divisors (151662119).

512385601 is a wasteful number, since it uses less digits than its factorization.

512385601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27793 (or 27786 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 512385601 is about 22635.9360530993. The cubic root of 512385601 is about 800.2007834575.

The spelling of 512385601 in words is "five hundred twelve million, three hundred eighty-five thousand, six hundred one".