825477534 has 128 divisors (see below), whose sum is σ = 2336947200. Its totient is φ = 210263040.

The previous prime is 825477533. The next prime is 825477563. The reversal of 825477534 is 435774528.

825477534 is a `hidden beast` number, since 8 + 2 + 547 + 75 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 825477534.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825477533) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118714 + ... + 125474.

It is an arithmetic number, because the mean of its divisors is an integer number (18257400).

Almost surely, 2^825477534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825477534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168473600).

825477534 is an abundant number, since it is smaller than the sum of its proper divisors (1511469666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825477534 is a wasteful number, since it uses less digits than its factorization.

825477534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6815 (or 6809 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 825477534 is about 28731.1248300515. The cubic root of 825477534 is about 938.0696518731.

The spelling of 825477534 in words is "eight hundred twenty-five million, four hundred seventy-seven thousand, five hundred thirty-four".