10265112654705 has 12 divisors (see below), whose sum is σ = 17792861934900. Its totient is φ = 5474726749152.

The previous prime is 10265112654677. The next prime is 10265112654721. The reversal of 10265112654705 is 50745621156201.

10265112654705 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 5 + 112 + 65 + 470 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1146989592576 + 9118123062129 = 1070976^2 + 3019623^2 .

It is not a de Polignac number, because 10265112654705 - 2¹⁰ = 10265112653681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 228113614549 = 10265112654705 / (1 + 0 + 2 + 6 + 5 + 1 + 1 + 2 + 6 + 5 + 4 + 7 + 0 + 5).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 114056807230 + ... + 114056807319.

It is an arithmetic number, because the mean of its divisors is an integer number (1482738494575).

Almost surely, 2^{10265112654705} is an apocalyptic number.

10265112654705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10265112654705 is a deficient number, since it is larger than the sum of its proper divisors (7527749280195).

10265112654705 is a wasteful number, since it uses less digits than its factorization.

10265112654705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228113614560 (or 228113614557 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 10265112654705 in words is "ten trillion, two hundred sixty-five billion, one hundred twelve million, six hundred fifty-four thousand, seven hundred five".