51534 has 24 divisors (see below), whose sum is σ = 127920. Its totient is φ = 14688.

The previous prime is 51521. The next prime is 51539. The reversal of 51534 is 43515.

51534 = 112² + 113² + ... + 115².

51534 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a plaindrome in base 11.

It is a nialpdrome in base 9.

It is a congruent number.

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

51534 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 in 11 ways as a sum of consecutive naturals, for example, 79 + ... + 330.

It is an arithmetic number, because the mean of its divisors is an integer number (5330).

2⁵¹⁵³⁴ is an apocalyptic number.

51534 is an abundant number, since it is smaller than the sum of its proper divisors (76386).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63960).

51534 is a wasteful number, since it uses less digits than its factorization.

51534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 421 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 51534 is about 227.0110129487. The cubic root of 51534 is about 37.2132800314.

It can be divided in two parts, 51 and 534, that added together give a palindrome (585).

The spelling of 51534 in words is "fifty-one thousand, five hundred thirty-four".