825300380125 has 16 divisors (see below), whose sum is σ = 1109203713072. Its totient is φ = 609452587200.

The previous prime is 825300380089. The next prime is 825300380141. The reversal of 825300380125 is 521083003528.

It can be written as a sum of positive squares in 8 ways, for example, as 466310071161 + 358990308964 = 682869^2 + 599158^2 .

It is not a de Polignac number, because 825300380125 - 2¹⁹ = 825299855837 is a prime.

It is a super-2 number, since 2×825300380125² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253936954 + ... + 253940203.

It is an arithmetic number, because the mean of its divisors is an integer number (69325232067).

Almost surely, 2^825300380125 is an apocalyptic number.

It is an amenable number.

825300380125 is a deficient number, since it is larger than the sum of its proper divisors (283903332947).

825300380125 is a wasteful number, since it uses less digits than its factorization.

825300380125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507877185 (or 507877175 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 825300380125 in words is "eight hundred twenty-five billion, three hundred million, three hundred eighty thousand, one hundred twenty-five".