18200513 has 2 divisors, whose sum is σ = 18200514. Its totient is φ = 18200512.

The previous prime is 18200491. The next prime is 18200519. The reversal of 18200513 is 31500281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15745024 + 2455489 = 3968^2 + 1567^2 .

It is an emirp because it is prime and its reverse (31500281) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 18200513 - 2⁶ = 18200449 is a prime.

It is a super-3 number, since 3×18200513³ (a number of 23 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (18200519) 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 as a sum of consecutive naturals, namely, 9100256 + 9100257.

It is an arithmetic number, because the mean of its divisors is an integer number (9100257).

Almost surely, 2^18200513 is an apocalyptic number.

It is an amenable number.

18200513 is a deficient number, since it is larger than the sum of its proper divisors (1).

18200513 is an equidigital number, since it uses as much as digits as its factorization.

18200513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 18200513 is about 4266.2059256440. The cubic root of 18200513 is about 263.0436828365.

Adding to 18200513 its reverse (31500281), we get a palindrome (49700794).

The spelling of 18200513 in words is "eighteen million, two hundred thousand, five hundred thirteen".