512953601 has 2 divisors, whose sum is σ = 512953602. Its totient is φ = 512953600.

The previous prime is 512953543. The next prime is 512953603. The reversal of 512953601 is 106359215.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 404814400 + 108139201 = 20120^2 + 10399^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-512953601 is a prime.

Together with 512953603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (512953603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256476800 + 256476801.

It is an arithmetic number, because the mean of its divisors is an integer number (256476801).

Almost surely, 2^512953601 is an apocalyptic number.

It is an amenable number.

512953601 is a deficient number, since it is larger than the sum of its proper divisors (1).

512953601 is an equidigital number, since it uses as much as digits as its factorization.

512953601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 512953601 is about 22648.4789997033. The cubic root of 512953601 is about 800.4963591583.

The spelling of 512953601 in words is "five hundred twelve million, nine hundred fifty-three thousand, six hundred one".