10025566527213 has 6 divisors (see below), whose sum is σ = 14481373872654. Its totient is φ = 6683711018136.

The previous prime is 10025566527199. The next prime is 10025566527227. The reversal of 10025566527213 is 31272566552001.

It is a happy number.

10025566527213 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 5 + 566 + 5 + 2 + 72 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (10025566527199) and next prime (10025566527227).

It can be written as a sum of positive squares in only one way, i.e., 6907156653609 + 3118409873604 = 2628147^2 + 1765902^2 .

It is not a de Polignac number, because 10025566527213 - 2⁸ = 10025566526957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10025566527253) 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 5 ways as a sum of consecutive naturals, for example, 556975918170 + ... + 556975918187.

It is an arithmetic number, because the mean of its divisors is an integer number (2413562312109).

Almost surely, 2^{10025566527213} is an apocalyptic number.

It is an amenable number.

10025566527213 is a deficient number, since it is larger than the sum of its proper divisors (4455807345441).

10025566527213 is a wasteful number, since it uses less digits than its factorization.

10025566527213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113951836363 (or 1113951836360 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 10025566527213 in words is "ten trillion, twenty-five billion, five hundred sixty-six million, five hundred twenty-seven thousand, two hundred thirteen".