10206564525134 has 64 divisors (see below), whose sum is σ = 16577154316800. Its totient is φ = 4697249356800.

The previous prime is 10206564525067. The next prime is 10206564525137. The reversal of 10206564525134 is 43152546560201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206564525137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374113574 + ... + 374140854.

It is an arithmetic number, because the mean of its divisors is an integer number (259018036200).

Almost surely, 2^{10206564525134} is an apocalyptic number.

10206564525134 is a deficient number, since it is larger than the sum of its proper divisors (6370589791666).

10206564525134 is a wasteful number, since it uses less digits than its factorization.

10206564525134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28329.

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 10206564525134 in words is "ten trillion, two hundred six billion, five hundred sixty-four million, five hundred twenty-five thousand, one hundred thirty-four".