51038313 has 16 divisors (see below), whose sum is σ = 71872320. Its totient is φ = 32126976.

The previous prime is 51038303. The next prime is 51038321. The reversal of 51038313 is 31383015.

It is not a de Polignac number, because 51038313 - 2⁴ = 51038297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51038303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17881 + ... + 20537.

It is an arithmetic number, because the mean of its divisors is an integer number (4492020).

Almost surely, 2^51038313 is an apocalyptic number.

It is an amenable number.

51038313 is a deficient number, since it is larger than the sum of its proper divisors (20834007).

51038313 is a wasteful number, since it uses less digits than its factorization.

51038313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 51038313 is about 7144.1103714878. The cubic root of 51038313 is about 370.9358171265.

The spelling of 51038313 in words is "fifty-one million, thirty-eight thousand, three hundred thirteen".