65105813 has 2 divisors, whose sum is σ = 65105814. Its totient is φ = 65105812.

The previous prime is 65105791. The next prime is 65105819. The reversal of 65105813 is 31850156.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59336209 + 5769604 = 7703^2 + 2402^2 .

It is a cyclic number.

It is not a de Polignac number, because 65105813 - 2¹² = 65101717 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65105819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32552906 + 32552907.

It is an arithmetic number, because the mean of its divisors is an integer number (32552907).

Almost surely, 2^65105813 is an apocalyptic number.

It is an amenable number.

65105813 is a deficient number, since it is larger than the sum of its proper divisors (1).

65105813 is an equidigital number, since it uses as much as digits as its factorization.

65105813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 65105813 is about 8068.8173234992. The cubic root of 65105813 is about 402.2906345275.

Adding to 65105813 its reverse (31850156), we get a palindrome (96955969).

It can be divided in two parts, 6 and 5105813, that multiplied together give a triangular number (30634878 = T₇₈₂₇).

The spelling of 65105813 in words is "sixty-five million, one hundred five thousand, eight hundred thirteen".