32000513 has 2 divisors, whose sum is σ = 32000514. Its totient is φ = 32000512.

The previous prime is 32000491. The next prime is 32000519. The reversal of 32000513 is 31500023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27952369 + 4048144 = 5287^2 + 2012^2 .

It is an emirp because it is prime and its reverse (31500023) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32000513 - 2¹⁶ = 31934977 is a prime.

It is not a weakly prime, because it can be changed into another prime (32000519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16000256 + 16000257.

It is an arithmetic number, because the mean of its divisors is an integer number (16000257).

Almost surely, 2^32000513 is an apocalyptic number.

It is an amenable number.

32000513 is a deficient number, since it is larger than the sum of its proper divisors (1).

32000513 is an equidigital number, since it uses as much as digits as its factorization.

32000513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 32000513 is about 5656.8995925330. The cubic root of 32000513 is about 317.4819069194.

Adding to 32000513 its reverse (31500023), we get a palindrome (63500536).

The spelling of 32000513 in words is "thirty-two million, five hundred thirteen", and thus it is an aban number.