512961 has 8 divisors (see below), whose sum is σ = 688800. Its totient is φ = 339552.

The previous prime is 512959. The next prime is 512977. The reversal of 512961 is 169215.

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

It is not a de Polignac number, because 512961 - 2¹ = 512959 is a prime.

512961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (512921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (86100).

2⁵¹²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

512961 is a deficient number, since it is larger than the sum of its proper divisors (175839).

512961 is a wasteful number, since it uses less digits than its factorization.

512961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215.

The product of its digits is 540, while the sum is 24.

The square root of 512961 is about 716.2129571573. The cubic root of 512961 is about 80.0500208008.

The spelling of 512961 in words is "five hundred twelve thousand, nine hundred sixty-one".