102565013 has 2 divisors, whose sum is σ = 102565014. Its totient is φ = 102565012.

The previous prime is 102564997. The next prime is 102565037. The reversal of 102565013 is 310565201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78818884 + 23746129 = 8878^2 + 4873^2 .

It is a cyclic number.

It is not a de Polignac number, because 102565013 - 2⁴ = 102564997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102565013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102565213) 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 as a sum of consecutive naturals, namely, 51282506 + 51282507.

It is an arithmetic number, because the mean of its divisors is an integer number (51282507).

Almost surely, 2^102565013 is an apocalyptic number.

It is an amenable number.

102565013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102565013 is an equidigital number, since it uses as much as digits as its factorization.

102565013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 102565013 is about 10127.4386199078. The cubic root of 102565013 is about 468.0940058196.

The spelling of 102565013 in words is "one hundred two million, five hundred sixty-five thousand, thirteen".