10205051504509 has 2 divisors, whose sum is σ = 10205051504510. Its totient is φ = 10205051504508.

The previous prime is 10205051504507. The next prime is 10205051504519. The reversal of 10205051504509 is 90540515050201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10204510802500 + 540702009 = 3194450^2 + 23253^2 .

It is a cyclic number.

It is not a de Polignac number, because 10205051504509 - 2¹ = 10205051504507 is a prime.

Together with 10205051504507, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10205051504503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5102525752254 + 5102525752255.

It is an arithmetic number, because the mean of its divisors is an integer number (5102525752255).

Almost surely, 2^{10205051504509} is an apocalyptic number.

It is an amenable number.

10205051504509 is a deficient number, since it is larger than the sum of its proper divisors (1).

10205051504509 is an equidigital number, since it uses as much as digits as its factorization.

10205051504509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45000, while the sum is 37.

The spelling of 10205051504509 in words is "ten trillion, two hundred five billion, fifty-one million, five hundred four thousand, five hundred nine".