65038513 has 2 divisors, whose sum is σ = 65038514. Its totient is φ = 65038512.

The previous prime is 65038507. The next prime is 65038531. The reversal of 65038513 is 31583056.

Together with next prime (65038531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41835024 + 23203489 = 6468^2 + 4817^2 .

It is a cyclic number.

It is not a de Polignac number, because 65038513 - 2¹⁷ = 64907441 is a prime.

It is not a weakly prime, because it can be changed into another prime (65038543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32519256 + 32519257.

It is an arithmetic number, because the mean of its divisors is an integer number (32519257).

Almost surely, 2^65038513 is an apocalyptic number.

It is an amenable number.

65038513 is a deficient number, since it is larger than the sum of its proper divisors (1).

65038513 is an equidigital number, since it uses as much as digits as its factorization.

65038513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 65038513 is about 8064.6458694725. The cubic root of 65038513 is about 402.1519705450.

The spelling of 65038513 in words is "sixty-five million, thirty-eight thousand, five hundred thirteen".