528273372825 has 384 divisors, whose sum is σ = 1123153827840. Its totient is φ = 241111987200.

The previous prime is 528273372817. The next prime is 528273372857.

It is a happy number.

528273372825 is a `hidden beast` number, since 5 + 2 + 8 + 27 + 337 + 282 + 5 = 666.

528273372825 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 528273372825 - 2³ = 528273372817 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2327195362 + ... + 2327195588.

It is an arithmetic number, because the mean of its divisors is an integer number (2924879760).

Almost surely, 2^528273372825 is an apocalyptic number.

528273372825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

528273372825 is an abundant number, since it is smaller than the sum of its proper divisors (594880455015).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

528273372825 is a wasteful number, since it uses less digits than its factorization.

528273372825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 523 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 528273372825 in words is "five hundred twenty-eight billion, two hundred seventy-three million, three hundred seventy-two thousand, eight hundred twenty-five".