528198993529 has 9 divisors (see below), whose sum is σ = 531396308109. Its totient is φ = 525020815200.

The previous prime is 528198993499. The next prime is 528198993557. The reversal of 528198993529 is 925399891825.

The square root of 528198993529 is 726773.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2208530025 + 525990463504 = 46995^2 + 725252^2 .

It is not a de Polignac number, because 528198993529 - 2²⁷ = 528064775801 is a prime.

It is a super-3 number, since 3×528198993529³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

Its product of digits (125971200) is a multiple of the sum of its prime divisors (4374).

It is not an unprimeable number, because it can be changed into a prime (528198993599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 125729629 + ... + 125733829.

Almost surely, 2^528198993529 is an apocalyptic number.

528198993529 is the 726773-rd square number.

528198993529 is the 363387-th centered octagonal number.

It is an amenable number.

528198993529 is a deficient number, since it is larger than the sum of its proper divisors (3197314580).

528198993529 is an frugal number, since it uses more digits than its factorization.

528198993529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8748 (or 4374 counting only the distinct ones).

The product of its digits is 125971200, while the sum is 70.

The spelling of 528198993529 in words is "five hundred twenty-eight billion, one hundred ninety-eight million, nine hundred ninety-three thousand, five hundred twenty-nine".