825059501 has 12 divisors (see below), whose sum is σ = 961926300. Its totient is φ = 705600000.

The previous prime is 825059467. The next prime is 825059503. The reversal of 825059501 is 105950528.

825059501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 407838025 + 417221476 = 20195^2 + 20426^2 .

It is a de Polignac number, because none of the positive numbers 2^k-825059501 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 (825059503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3251 + ... + 40751.

It is an arithmetic number, because the mean of its divisors is an integer number (80160525).

Almost surely, 2^825059501 is an apocalyptic number.

It is an amenable number.

825059501 is a deficient number, since it is larger than the sum of its proper divisors (136866799).

825059501 is a wasteful number, since it uses less digits than its factorization.

825059501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37964 (or 37957 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 35.

The square root of 825059501 is about 28723.8489934758. The cubic root of 825059501 is about 937.9112747443.

The spelling of 825059501 in words is "eight hundred twenty-five million, fifty-nine thousand, five hundred one".