65340513 has 48 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 36885456.

The previous prime is 65340491. The next prime is 65340551. The reversal of 65340513 is 31504356.

65340513 is a `hidden beast` number, since 653 + 4 + 0 + 5 + 1 + 3 = 666.

It is not a de Polignac number, because 65340513 - 2⁹ = 65340001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (65340013) 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 in 47 ways as a sum of consecutive naturals, for example, 181828 + ... + 182186.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^65340513 is an apocalyptic number.

65340513 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

65340513 is a deficient number, since it is larger than the sum of its proper divisors (47878047).

65340513 is a wasteful number, since it uses less digits than its factorization.

65340513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 65340513 is about 8083.3478831484. The cubic root of 65340513 is about 402.7734607600.

Adding to 65340513 its reverse (31504356), we get a palindrome (96844869).

The spelling of 65340513 in words is "sixty-five million, three hundred forty thousand, five hundred thirteen".