512191 has 8 divisors (see below), whose sum is σ = 535040. Its totient is φ = 489888.

The previous prime is 512167. The next prime is 512207. The reversal of 512191 is 191215.

512191 = 63³ + 64³.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(512191) divides (512191-1)⁵.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-512191 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512101) 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 7 ways as a sum of consecutive naturals, for example, 3970 + ... + 4096.

It is an arithmetic number, because the mean of its divisors is an integer number (66880).

2⁵¹²¹⁹¹ is an apocalyptic number.

512191 is a deficient number, since it is larger than the sum of its proper divisors (22849).

512191 is a wasteful number, since it uses less digits than its factorization.

512191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273.

The product of its digits is 90, while the sum is 19.

The square root of 512191 is about 715.6752056625. The cubic root of 512191 is about 80.0099466799.

It can be divided in two parts, 512 and 191, that added together give a triangular number (703 = T₃₇).

The spelling of 512191 in words is "five hundred twelve thousand, one hundred ninety-one".