826541340125241 has 16 divisors (see below), whose sum is σ = 1186830731661120. Its totient is φ = 508639907244480.

The previous prime is 826541340125117. The next prime is 826541340125257. The reversal of 826541340125241 is 142521043145628.

It is not a de Polignac number, because 826541340125241 - 2²⁵ = 826541306570809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (826541340125261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3112795 + ... + 40777103.

It is an arithmetic number, because the mean of its divisors is an integer number (74176920728820).

Almost surely, 2^{826541340125241} is an apocalyptic number.

It is an amenable number.

826541340125241 is a deficient number, since it is larger than the sum of its proper divisors (360289391535879).

826541340125241 is a wasteful number, since it uses less digits than its factorization.

826541340125241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38227016.

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 826541340125241 in words is "eight hundred twenty-six trillion, five hundred forty-one billion, three hundred forty million, one hundred twenty-five thousand, two hundred forty-one".