10206564460025 has 48 divisors (see below), whose sum is σ = 13471887993984. Its totient is φ = 7653592826880.

The previous prime is 10206564460013. The next prime is 10206564460031. The reversal of 10206564460025 is 52006446560201.

It is not a de Polignac number, because 10206564460025 - 2⁶ = 10206564459961 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25000337 + ... + 25405313.

It is an arithmetic number, because the mean of its divisors is an integer number (280664333208).

Almost surely, 2^{10206564460025} is an apocalyptic number.

It is an amenable number.

10206564460025 is a deficient number, since it is larger than the sum of its proper divisors (3265323533959).

10206564460025 is a wasteful number, since it uses less digits than its factorization.

10206564460025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405890 (or 405885 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 10206564460025 in words is "ten trillion, two hundred six billion, five hundred sixty-four million, four hundred sixty thousand, twenty-five".