51249 has 8 divisors (see below), whose sum is σ = 74592. Its totient is φ = 31040.

The previous prime is 51241. The next prime is 51257. The reversal of 51249 is 94215.

It is an interprime number because it is at equal distance from previous prime (51241) and next prime (51257).

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 51249 - 2³ = 51241 is a prime.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51241) 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, 744 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (9324).

2⁵¹²⁴⁹ is an apocalyptic number.

It is an amenable number.

51249 is a deficient number, since it is larger than the sum of its proper divisors (23343).

51249 is a wasteful number, since it uses less digits than its factorization.

51249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567.

The product of its digits is 360, while the sum is 21.

The square root of 51249 is about 226.3824198121. The cubic root of 51249 is about 37.1445526135.

It can be divided in two parts, 512 and 49, that added together give a triangular number (561 = T₃₃).

The spelling of 51249 in words is "fifty-one thousand, two hundred forty-nine".