51135 has 16 divisors (see below), whose sum is σ = 93696. Its totient is φ = 23328.

The previous prime is 51133. The next prime is 51137. The reversal of 51135 is 53115.

It is an interprime number because it is at equal distance from previous prime (51133) and next prime (51137).

It is not a de Polignac number, because 51135 - 2¹ = 51133 is a prime.

It is a super-2 number, since 2×51135² = 5229576450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nude number because it is divisible by every one of its digits.

51135 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139 + ... + 348.

It is an arithmetic number, because the mean of its divisors is an integer number (5856).

2⁵¹¹³⁵ is an apocalyptic number.

51135 is a deficient number, since it is larger than the sum of its proper divisors (42561).

51135 is a wasteful number, since it uses less digits than its factorization.

51135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502.

The product of its digits is 75, while the sum is 15.

The square root of 51135 is about 226.1304932998. The cubic root of 51135 is about 37.1169903023.

The spelling of 51135 in words is "fifty-one thousand, one hundred thirty-five".