51200313 has 8 divisors (see below), whose sum is σ = 70469376. Its totient is φ = 33032400.

The previous prime is 51200309. The next prime is 51200329. The reversal of 51200313 is 31300215.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 51200313 - 2² = 51200309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 51200292 and 51200301.

It is not an unprimeable number, because it can be changed into a prime (51200333) 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 7 ways as a sum of consecutive naturals, for example, 275178 + ... + 275363.

It is an arithmetic number, because the mean of its divisors is an integer number (8808672).

Almost surely, 2^51200313 is an apocalyptic number.

It is an amenable number.

51200313 is a deficient number, since it is larger than the sum of its proper divisors (19269063).

51200313 is a wasteful number, since it uses less digits than its factorization.

51200313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550575.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 51200313 is about 7155.4393995058. The cubic root of 51200313 is about 371.3278633632.

Adding to 51200313 its reverse (31300215), we get a palindrome (82500528).

The spelling of 51200313 in words is "fifty-one million, two hundred thousand, three hundred thirteen".