825368863527 has 96 divisors (see below), whose sum is σ = 1318505610240. Its totient is φ = 494428872960.

The previous prime is 825368863463. The next prime is 825368863567. The reversal of 825368863527 is 725368863528.

825368863527 is a `hidden beast` number, since 8 + 25 + 3 + 6 + 8 + 86 + 3 + 527 = 666.

It is not a de Polignac number, because 825368863527 - 2⁶ = 825368863463 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825368863567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 364078648 + ... + 364080914.

It is an arithmetic number, because the mean of its divisors is an integer number (13734433440).

Almost surely, 2^825368863527 is an apocalyptic number.

825368863527 is a deficient number, since it is larger than the sum of its proper divisors (493136746713).

825368863527 is a wasteful number, since it uses less digits than its factorization.

825368863527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2850 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

Subtracting from 825368863527 its reverse (725368863528), we obtain a palindrome (99999999999).

The spelling of 825368863527 in words is "eight hundred twenty-five billion, three hundred sixty-eight million, eight hundred sixty-three thousand, five hundred twenty-seven".