51005133 has 30 divisors (see below), whose sum is σ = 78349194. Its totient is φ = 33055776.

The previous prime is 51005057. The next prime is 51005167. The reversal of 51005133 is 33150015.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 21650409 + 29354724 = 4653^2 + 5418^2 .

It is not a de Polignac number, because 51005133 - 2¹³ = 50996941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51005533) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 467883 + ... + 467991.

Almost surely, 2^51005133 is an apocalyptic number.

51005133 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

51005133 is a deficient number, since it is larger than the sum of its proper divisors (27344061).

51005133 is an equidigital number, since it uses as much as digits as its factorization.

51005133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 51005133 is about 7141.7878013842. The cubic root of 51005133 is about 370.8554179275.

Adding to 51005133 its reverse (33150015), we get a palindrome (84155148).

The spelling of 51005133 in words is "fifty-one million, five thousand, one hundred thirty-three".