51536 has 10 divisors (see below), whose sum is σ = 99882. Its totient is φ = 25760.

The previous prime is 51521. The next prime is 51539. The reversal of 51536 is 63515.

51536 = T₄₀ + T₄₁ + ... + T₇₁.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 3136 = 220^2 + 56^2 .

It is a nialpdrome in base 9 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51539) by changing a digit.

51536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1595 + ... + 1626.

2⁵¹⁵³⁶ is an apocalyptic number.

It is an amenable number.

51536 is a deficient number, since it is larger than the sum of its proper divisors (48346).

51536 is a wasteful number, since it uses less digits than its factorization.

51536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3223 counting only the distinct ones).

The product of its digits is 450, while the sum is 20.

The square root of 51536 is about 227.0154179786. The cubic root of 51536 is about 37.2137614327.

The spelling of 51536 in words is "fifty-one thousand, five hundred thirty-six".