7825509 has 6 divisors (see below), whose sum is σ = 11303526. Its totient is φ = 5217000.

The previous prime is 7825501. The next prime is 7825523. The reversal of 7825509 is 9055287.

7825509 is digitally balanced in base 3, 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 only one way, i.e., 6874884 + 950625 = 2622^2 + 975^2 .

It is not a de Polignac number, because 7825509 - 2³ = 7825501 is a prime.

It is a super-2 number, since 2×7825509² = 122477182218162, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7825501) 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 5 ways as a sum of consecutive naturals, for example, 434742 + ... + 434759.

It is an arithmetic number, because the mean of its divisors is an integer number (1883921).

Almost surely, 2^7825509 is an apocalyptic number.

It is an amenable number.

7825509 is a deficient number, since it is larger than the sum of its proper divisors (3478017).

7825509 is a wasteful number, since it uses less digits than its factorization.

7825509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869507 (or 869504 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 7825509 is about 2797.4111245936. The cubic root of 7825509 is about 198.5352064230.

The spelling of 7825509 in words is "seven million, eight hundred twenty-five thousand, five hundred nine".