51578 has 16 divisors (see below), whose sum is σ = 86184. Its totient is φ = 23040.

The previous prime is 51577. The next prime is 51581. The reversal of 51578 is 87515.

51578 = T₁₇ + T₁₈ + ... + T₆₇.

It can be written as a sum of positive squares in 4 ways, for example, as 47089 + 4489 = 217^2 + 67^2 .

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 7 ways as a sum of consecutive naturals, for example, 1238 + ... + 1278.

2⁵¹⁵⁷⁸ is an apocalyptic number.

51578 is a deficient number, since it is larger than the sum of its proper divisors (34606).

51578 is a wasteful number, since it uses less digits than its factorization.

51578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97.

The product of its digits is 1400, while the sum is 26.

The square root of 51578 is about 227.1079038695. The cubic root of 51578 is about 37.2238679833.

Subtracting 51578 from its reverse (87515), we obtain a cube (35937 = 33³).

The spelling of 51578 in words is "fifty-one thousand, five hundred seventy-eight".