825085755 has 48 divisors (see below), whose sum is σ = 1581827520. Its totient is φ = 395207424.

The previous prime is 825085733. The next prime is 825085759. The reversal of 825085755 is 557580528.

It is not a de Polignac number, because 825085755 - 2⁶ = 825085691 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 825085755.

It is not an unprimeable number, because it can be changed into a prime (825085759) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2586 + ... + 40704.

It is an arithmetic number, because the mean of its divisors is an integer number (32954740).

Almost surely, 2^825085755 is an apocalyptic number.

825085755 is a deficient number, since it is larger than the sum of its proper divisors (756741765).

825085755 is a wasteful number, since it uses less digits than its factorization.

825085755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38180 (or 38177 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 45.

The square root of 825085755 is about 28724.3059968383. The cubic root of 825085755 is about 937.9212229809.

The spelling of 825085755 in words is "eight hundred twenty-five million, eighty-five thousand, seven hundred fifty-five".