51225 has 12 divisors (see below), whose sum is σ = 84816. Its totient is φ = 27280.

The previous prime is 51217. The next prime is 51229. The reversal of 51225 is 52215.

It is not a de Polignac number, because 51225 - 2³ = 51217 is a prime.

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

It is a Curzon number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (51229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267 + ... + 416.

It is an arithmetic number, because the mean of its divisors is an integer number (7068).

2⁵¹²²⁵ is an apocalyptic number.

It is an amenable number.

51225 is a deficient number, since it is larger than the sum of its proper divisors (33591).

51225 is a wasteful number, since it uses less digits than its factorization.

51225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 691 counting only the distinct ones).

The product of its digits is 100, while the sum is 15.

The square root of 51225 is about 226.3294059551. The cubic root of 51225 is about 37.1387534209.

Subtracting 51225 from its reverse (52215), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 51 and 225, that added together give a triangular number (276 = T₂₃).

The spelling of 51225 in words is "fifty-one thousand, two hundred twenty-five".