5258338525 has 24 divisors (see below), whose sum is σ = 7121535264. Its totient is φ = 3819710400.

The previous prime is 5258338511. The next prime is 5258338537.

5258338525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5258338525 - 2⁹ = 5258338013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230274 + ... + 252076.

It is an arithmetic number, because the mean of its divisors is an integer number (296730636).

Almost surely, 2^5258338525 is an apocalyptic number.

5258338525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5258338525 is a deficient number, since it is larger than the sum of its proper divisors (1863196739).

5258338525 is a wasteful number, since it uses less digits than its factorization.

5258338525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22701 (or 22696 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 46.

The square root of 5258338525 is about 72514.4021901856. The cubic root of 5258338525 is about 1738.9329923831.

The spelling of 5258338525 in words is "five billion, two hundred fifty-eight million, three hundred thirty-eight thousand, five hundred twenty-five".