88111017225 has 243 divisors, whose sum is σ = 202577366901. Its totient is φ = 36475084800.

The previous prime is 88111017223. The next prime is 88111017227. The reversal of 88111017225 is 52271011188.

88111017225 = 1³ + 2³ + ... + 770³.

The square root of 88111017225 is 296835.

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

It is an interprime number because it is at equal distance from previous prime (88111017223) and next prime (88111017227).

It can be written as a sum of positive squares in 4 ways, for example, as 21652239609 + 66458777616 = 147147^2 + 257796^2 .

It is not a de Polignac number, because 88111017225 - 2¹ = 88111017223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 88111017225.

It is not an unprimeable number, because it can be changed into a prime (88111017223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 342844297 + ... + 342844553.

Almost surely, 2^88111017225 is an apocalyptic number.

88111017225 is the 296835-th square number.

88111017225 is the 148418-th centered octagonal number.

It is an amenable number.

88111017225 is an abundant number, since it is smaller than the sum of its proper divisors (114466349676).

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

88111017225 is a wasteful number, since it uses less digits than its factorization.

88111017225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

Multiplying 88111017225 by its sum of digits (36), we get a square (3171996620100 = 1781010²).

The spelling of 88111017225 in words is "eighty-eight billion, one hundred eleven million, seventeen thousand, two hundred twenty-five".