512052801 has 48 divisors (see below), whose sum is σ = 788493888. Its totient is φ = 293760000.

The previous prime is 512052701. The next prime is 512052803. The reversal of 512052801 is 108250215.

It is not a de Polignac number, because 512052801 - 2¹⁰ = 512051777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (512052803) 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 47 ways as a sum of consecutive naturals, for example, 2039926 + ... + 2040176.

It is an arithmetic number, because the mean of its divisors is an integer number (16426956).

Almost surely, 2^512052801 is an apocalyptic number.

512052801 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

512052801 is a deficient number, since it is larger than the sum of its proper divisors (276441087).

512052801 is a wasteful number, since it uses less digits than its factorization.

512052801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 512052801 is about 22628.5837161763. The cubic root of 512052801 is about 800.0274995755.

The spelling of 512052801 in words is "five hundred twelve million, fifty-two thousand, eight hundred one".