10206412663525 has 48 divisors (see below), whose sum is σ = 13651195048848. Its totient is φ = 7525048320000.

The previous prime is 10206412663451. The next prime is 10206412663529. The reversal of 10206412663525 is 52536621460201.

It can be written as a sum of positive squares in 24 ways, for example, as 6564658741281 + 3641753922244 = 2562159^2 + 1908338^2 .

It is not a de Polignac number, because 10206412663525 - 2²³ = 10206404274917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206412663529) 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 47 ways as a sum of consecutive naturals, for example, 570787585 + ... + 570805465.

It is an arithmetic number, because the mean of its divisors is an integer number (284399896851).

Almost surely, 2^{10206412663525} is an apocalyptic number.

It is an amenable number.

10206412663525 is a deficient number, since it is larger than the sum of its proper divisors (3444782385323).

10206412663525 is a wasteful number, since it uses less digits than its factorization.

10206412663525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20602 (or 20597 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 10206412663525 in words is "ten trillion, two hundred six billion, four hundred twelve million, six hundred sixty-three thousand, five hundred twenty-five".