51200319 has 8 divisors (see below), whose sum is σ = 68302080. Its totient is φ = 34116056.

The previous prime is 51200309. The next prime is 51200329. The reversal of 51200319 is 91300215.

51200319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51200309) and next prime (51200329).

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 51200319 - 2⁵ = 51200287 is a prime.

It is a super-2 number, since 2×51200319² = 5242945331403522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51200295 and 51200304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51200309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5914 + ... + 11720.

It is an arithmetic number, because the mean of its divisors is an integer number (8537760).

Almost surely, 2^51200319 is an apocalyptic number.

51200319 is a deficient number, since it is larger than the sum of its proper divisors (17101761).

51200319 is a wasteful number, since it uses less digits than its factorization.

51200319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8749.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 51200319 is about 7155.4398187673. The cubic root of 51200319 is about 371.3278778681.

The spelling of 51200319 in words is "fifty-one million, two hundred thousand, three hundred nineteen".