6266085336225 has 405 divisors, whose sum is σ = 13850545102779. Its totient is φ = 2797192569600.

The previous prime is 6266085336191. The next prime is 6266085336283. The reversal of 6266085336225 is 5226335806626.

The square root of 6266085336225 is 2503215.

It is a perfect power (a square), and thus also a powerful number.

6266085336225 is a `hidden beast` number, since 6 + 2 + 6 + 6 + 0 + 8 + 5 + 3 + 3 + 622 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 6262120870929 + 3964465296 = 2502423^2 + 62964^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 6266085336225 - 2²³ = 6266076947617 is a prime.

It is an unprimeable number.

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 404 ways as a sum of consecutive naturals, for example, 16108188331 + ... + 16108188719.

Almost surely, 2^{6266085336225} is an apocalyptic number.

6266085336225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6266085336225 is the 2503215-th square number.

6266085336225 is the 1251608-th centered octagonal number.

It is an amenable number.

6266085336225 is an abundant number, since it is smaller than the sum of its proper divisors (7584459766554).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6266085336225 is a wasteful number, since it uses less digits than its factorization.

6266085336225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 6266085336225 in words is "six trillion, two hundred sixty-six billion, eighty-five million, three hundred thirty-six thousand, two hundred twenty-five".