51527 has 8 divisors (see below), whose sum is σ = 62496. Its totient is φ = 41472.

The previous prime is 51521. The next prime is 51539. The reversal of 51527 is 72515.

51527 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 51527 - 2⁴ = 51511 is a prime.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 51499 and 51508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51521) 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, 98 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁵¹⁵²⁷ is an apocalyptic number.

51527 is a deficient number, since it is larger than the sum of its proper divisors (10969).

51527 is a wasteful number, since it uses less digits than its factorization.

51527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457.

The product of its digits is 350, while the sum is 20.

The square root of 51527 is about 226.9955946709. The cubic root of 51527 is about 37.2115950289.

The spelling of 51527 in words is "fifty-one thousand, five hundred twenty-seven".