10206256415013 has 48 divisors (see below), whose sum is σ = 15282553995072. Its totient is φ = 6559092960000.

The previous prime is 10206256414969. The next prime is 10206256415039. The reversal of 10206256415013 is 31051465260201.

10206256415013 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 2 + 5 + 641 + 5 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 10206256415013 - 2¹³ = 10206256406821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206256410013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18020206 + ... + 18577952.

It is an arithmetic number, because the mean of its divisors is an integer number (318386541564).

Almost surely, 2^{10206256415013} is an apocalyptic number.

It is an amenable number.

10206256415013 is a deficient number, since it is larger than the sum of its proper divisors (5076297580059).

10206256415013 is a wasteful number, since it uses less digits than its factorization.

10206256415013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558386 (or 558383 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10206256415013 in words is "ten trillion, two hundred six billion, two hundred fifty-six million, four hundred fifteen thousand, thirteen".