512011257 has 16 divisors (see below), whose sum is σ = 712914048. Its totient is φ = 326247680.

The previous prime is 512011231. The next prime is 512011267. The reversal of 512011257 is 752110215.

It is a cyclic number.

It is not a de Polignac number, because 512011257 - 2⁶ = 512011193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (512011267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134257 + ... + 138017.

It is an arithmetic number, because the mean of its divisors is an integer number (44557128).

Almost surely, 2^512011257 is an apocalyptic number.

It is an amenable number.

512011257 is a deficient number, since it is larger than the sum of its proper divisors (200902791).

512011257 is a wasteful number, since it uses less digits than its factorization.

512011257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760.

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 512011257 is about 22627.6657435096. The cubic root of 512011257 is about 800.0058629779.

The spelling of 512011257 in words is "five hundred twelve million, eleven thousand, two hundred fifty-seven".