51537 has 8 divisors (see below), whose sum is σ = 70560. Its totient is φ = 33440.

The previous prime is 51521. The next prime is 51539. The reversal of 51537 is 73515.

It is a happy number.

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 51537 - 2⁴ = 51521 is a prime.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51537.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87 + ... + 332.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2⁵¹⁵³⁷ is an apocalyptic number.

It is an amenable number.

51537 is a deficient number, since it is larger than the sum of its proper divisors (19023).

51537 is a wasteful number, since it uses less digits than its factorization.

51537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463.

The product of its digits is 525, while the sum is 21.

The square root of 51537 is about 227.0176204615. The cubic root of 51537 is about 37.2140021286.

The spelling of 51537 in words is "fifty-one thousand, five hundred thirty-seven".