906536814757265 has 16 divisors (see below), whose sum is σ = 1100304283046400. Its totient is φ = 716926228056192.

The previous prime is 906536814757207. The next prime is 906536814757333. The reversal of 906536814757265 is 562757418635609.

906536814757265 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 906536814757265 - 2¹⁸ = 906536814495121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 906536814757192 and 906536814757201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217504667 + ... + 221633376.

It is an arithmetic number, because the mean of its divisors is an integer number (68769017690400).

It is a 2-persistent number, because it is pandigital, and so is 2⋅906536814757265 = 1813073629514530, but 3⋅906536814757265 = 2719610444271795 is not.

Almost surely, 2^{906536814757265} is an apocalyptic number.

It is an amenable number.

906536814757265 is a deficient number, since it is larger than the sum of its proper divisors (193767468289135).

906536814757265 is a wasteful number, since it uses less digits than its factorization.

906536814757265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439142776.

The product of its (nonzero) digits is 2286144000, while the sum is 74.

The spelling of 906536814757265 in words is "nine hundred six trillion, five hundred thirty-six billion, eight hundred fourteen million, seven hundred fifty-seven thousand, two hundred sixty-five".