825137105 has 16 divisors (see below), whose sum is σ = 1091133120. Its totient is φ = 595159488.

The previous prime is 825137099. The next prime is 825137129. The reversal of 825137105 is 501731528.

It is a cyclic number.

It is not a de Polignac number, because 825137105 - 2¹² = 825133009 is a prime.

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, 144815 + ... + 150404.

It is an arithmetic number, because the mean of its divisors is an integer number (68195820).

Almost surely, 2^825137105 is an apocalyptic number.

It is an amenable number.

825137105 is a deficient number, since it is larger than the sum of its proper divisors (265996015).

825137105 is a wasteful number, since it uses less digits than its factorization.

825137105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295280.

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 825137105 is about 28725.1998252406. The cubic root of 825137105 is about 937.9406800517.

The spelling of 825137105 in words is "eight hundred twenty-five million, one hundred thirty-seven thousand, one hundred five".