51201 has 6 divisors (see below), whose sum is σ = 73970. Its totient is φ = 34128.

The previous prime is 51199. The next prime is 51203. The reversal of 51201 is 10215.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51199) and next prime (51203).

It can be written as a sum of positive squares in only one way, i.e., 50625 + 576 = 225^2 + 24^2 .

It is not a de Polignac number, because 51201 - 2¹ = 51199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 5689 = 51201 / (5 + 1 + 2 + 0 + 1).

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (51203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2836 + ... + 2853.

It is a Proth number, since it is equal to 25 ⋅ 2¹¹ + 1 and 25 < 2¹¹.

2⁵¹²⁰¹ is an apocalyptic number.

It is an amenable number.

51201 is a deficient number, since it is larger than the sum of its proper divisors (22769).

51201 is a wasteful number, since it uses less digits than its factorization.

51201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5695 (or 5692 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 51201 is about 226.2763796776. The cubic root of 51201 is about 37.1329524167.

Adding to 51201 its reverse (10215), we get a palindrome (61416).

It can be divided in two parts, 51 and 201, that added together give a palindrome (252).

The spelling of 51201 in words is "fifty-one thousand, two hundred one".