51200309 has 2 divisors, whose sum is σ = 51200310. Its totient is φ = 51200308.

The previous prime is 51200299. The next prime is 51200329. The reversal of 51200309 is 90300215.

It is an a-pointer prime, because the next prime (51200329) can be obtained adding 51200309 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48344209 + 2856100 = 6953^2 + 1690^2 .

It is a cyclic number.

It is not a de Polignac number, because 51200309 - 2⁸ = 51200053 is a prime.

It is a super-3 number, since 3×51200309³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51200329) 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 as a sum of consecutive naturals, namely, 25600154 + 25600155.

It is an arithmetic number, because the mean of its divisors is an integer number (25600155).

Almost surely, 2^51200309 is an apocalyptic number.

It is an amenable number.

51200309 is a deficient number, since it is larger than the sum of its proper divisors (1).

51200309 is an equidigital number, since it uses as much as digits as its factorization.

51200309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 51200309 is about 7155.4391199982. The cubic root of 51200309 is about 371.3278536932.

The spelling of 51200309 in words is "fifty-one million, two hundred thousand, three hundred nine".