825713197754841 has 24 divisors (see below), whose sum is σ = 1336289335602624. Its totient is φ = 486907045356960.

The previous prime is 825713197754807. The next prime is 825713197754881. The reversal of 825713197754841 is 148457791317528.

825713197754841 is a `hidden beast` number, since 8 + 2 + 5 + 7 + 1 + 3 + 1 + 9 + 77 + 548 + 4 + 1 = 666.

It is not a de Polignac number, because 825713197754841 - 2²² = 825713193560537 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 825713197754841.

It is not an unprimeable number, because it can be changed into a prime (825713197754881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112709960541 + ... + 112709967866.

It is an arithmetic number, because the mean of its divisors is an integer number (55678722316776).

Almost surely, 2^{825713197754841} is an apocalyptic number.

It is an amenable number.

825713197754841 is a deficient number, since it is larger than the sum of its proper divisors (510576137847783).

825713197754841 is a wasteful number, since it uses less digits than its factorization.

825713197754841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225419928461 (or 225419928458 counting only the distinct ones).

The product of its digits is 474163200, while the sum is 72.

The spelling of 825713197754841 in words is "eight hundred twenty-five trillion, seven hundred thirteen billion, one hundred ninety-seven million, seven hundred fifty-four thousand, eight hundred forty-one".