85208529025 has 27 divisors (see below), whose sum is σ = 107157959811. Its totient is φ = 67212877680.

The previous prime is 85208529011. The next prime is 85208529041. The reversal of 85208529025 is 52092580258.

The square root of 85208529025 is 291905.

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

It can be written as a sum of positive squares in only one way, i.e., 30675070449 + 54533458576 = 175143^2 + 233524^2 .

It is not a de Polignac number, because 85208529025 - 2¹³ = 85208520833 is a prime.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 115302106 + ... + 115302844.

Almost surely, 2^85208529025 is an apocalyptic number.

85208529025 is the 291905-th square number.

85208529025 is the 145953-rd centered octagonal number.

It is an amenable number.

85208529025 is a deficient number, since it is larger than the sum of its proper divisors (21949430786).

85208529025 is an frugal number, since it uses more digits than its factorization.

85208529025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 46.

The spelling of 85208529025 in words is "eighty-five billion, two hundred eight million, five hundred twenty-nine thousand, twenty-five".