825000007 has 16 divisors (see below), whose sum is σ = 945756000. Its totient is φ = 713332224.

The previous prime is 824999951. The next prime is 825000019. The reversal of 825000007 is 700000528.

It is a cyclic number.

It is not a de Polignac number, because 825000007 - 2¹⁵ = 824967239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825000307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3219 + ... + 40747.

It is an arithmetic number, because the mean of its divisors is an integer number (59109750).

Almost surely, 2^825000007 is an apocalyptic number.

825000007 is a deficient number, since it is larger than the sum of its proper divisors (120755993).

825000007 is a wasteful number, since it uses less digits than its factorization.

825000007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37650.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 825000007 is about 28722.8133545445. The cubic root of 825000007 is about 937.8887303361. Note that the first 3 decimals are identical.

The spelling of 825000007 in words is "eight hundred twenty-five million, seven", and thus it is an aban number.