85198345787025 has 243 divisors, whose sum is σ = 162920193910929. Its totient is φ = 42554465959680.

The previous prime is 85198345787003. The next prime is 85198345787039. The reversal of 85198345787025 is 52078754389158.

The square root of 85198345787025 is 9230295.

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

85198345787025 is a `hidden beast` number, since 8 + 5 + 1 + 9 + 83 + 457 + 8 + 70 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16778780708481 + 68419565078544 = 4096191^2 + 8271612^2 .

It is not a de Polignac number, because 85198345787025 - 2³³ = 85189755852433 is a prime.

It is an unprimeable number.

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 242 ways as a sum of consecutive naturals, for example, 365658136309 + ... + 365658136541.

Almost surely, 2^{85198345787025} is an apocalyptic number.

85198345787025 is the 9230295-th square number.

85198345787025 is the 4615148-th centered octagonal number.

It is an amenable number.

85198345787025 is a deficient number, since it is larger than the sum of its proper divisors (77721848123904).

85198345787025 is a wasteful number, since it uses less digits than its factorization.

85198345787025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 677376000, while the sum is 72.

The spelling of 85198345787025 in words is "eighty-five trillion, one hundred ninety-eight billion, three hundred forty-five million, seven hundred eighty-seven thousand, twenty-five".