525808525 has 36 divisors (see below), whose sum is σ = 724180212. Its totient is φ = 378400000.

The previous prime is 525808523. The next prime is 525808553.

It is a happy number.

525808525 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 38900169 + 486908356 = 6237^2 + 22066^2 .

It is not a de Polignac number, because 525808525 - 2¹ = 525808523 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 (525808523) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 304665 + ... + 306385.

It is an arithmetic number, because the mean of its divisors is an integer number (20116117).

Almost surely, 2^525808525 is an apocalyptic number.

525808525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

525808525 is a deficient number, since it is larger than the sum of its proper divisors (198371687).

525808525 is a wasteful number, since it uses less digits than its factorization.

525808525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 40.

The square root of 525808525 is about 22930.5151490323. The cubic root of 525808525 is about 807.1282367601.

The spelling of 525808525 in words is "five hundred twenty-five million, eight hundred eight thousand, five hundred twenty-five".