10206413563625 has 16 divisors (see below), whose sum is σ = 12738404065296. Its totient is φ = 8164618070400.

The previous prime is 10206413563607. The next prime is 10206413563627. The reversal of 10206413563625 is 52636531460201.

It can be written as a sum of positive squares in 8 ways, for example, as 3744054721936 + 6462358841689 = 1934956^2 + 2542117^2 .

It is not a de Polignac number, because 10206413563625 - 2⁶ = 10206413563561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10206413563627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559292 + ... + 4552541.

It is an arithmetic number, because the mean of its divisors is an integer number (796150254081).

Almost surely, 2^{10206413563625} is an apocalyptic number.

It is an amenable number.

10206413563625 is a deficient number, since it is larger than the sum of its proper divisors (2531990501671).

10206413563625 is an equidigital number, since it uses as much as digits as its factorization.

10206413563625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127821 (or 5127811 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 10206413563625 in words is "ten trillion, two hundred six billion, four hundred thirteen million, five hundred sixty-three thousand, six hundred twenty-five".