51579 has 12 divisors (see below), whose sum is σ = 81432. Its totient is φ = 31200.

The previous prime is 51577. The next prime is 51581. The reversal of 51579 is 97515.

It is an interprime number because it is at equal distance from previous prime (51577) and next prime (51581).

It is not a de Polignac number, because 51579 - 2¹ = 51577 is a prime.

51579 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (51577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (6786).

2⁵¹⁵⁷⁹ is an apocalyptic number.

51579 is a deficient number, since it is larger than the sum of its proper divisors (29853).

51579 is a wasteful number, since it uses less digits than its factorization.

51579 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 535 counting only the distinct ones).

The product of its digits is 1575, while the sum is 27.

The square root of 51579 is about 227.1101054555. The cubic root of 51579 is about 37.2241085486.

It can be divided in two parts, 51 and 579, that added together give a triangular number (630 = T₃₅).

The spelling of 51579 in words is "fifty-one thousand, five hundred seventy-nine".