825105057 has 32 divisors (see below), whose sum is σ = 1287386880. Its totient is φ = 460425600.

The previous prime is 825105053. The next prime is 825105079. The reversal of 825105057 is 750501528.

It is a happy number.

It is not a de Polignac number, because 825105057 - 2² = 825105053 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825105053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8169307 + ... + 8169407.

It is an arithmetic number, because the mean of its divisors is an integer number (40230840).

Almost surely, 2^825105057 is an apocalyptic number.

It is an amenable number.

825105057 is a deficient number, since it is larger than the sum of its proper divisors (462281823).

825105057 is an frugal number, since it uses more digits than its factorization.

825105057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

The square root of 825105057 is about 28724.6419821031. The cubic root of 825105057 is about 937.9285368123.

The spelling of 825105057 in words is "eight hundred twenty-five million, one hundred five thousand, fifty-seven".