85091807025 has 27 divisors (see below), whose sum is σ = 152416718571. Its totient is φ = 45379963440.

The previous prime is 85091807023. The next prime is 85091807063. The reversal of 85091807025 is 52070819058.

It is a happy number.

The square root of 85091807025 is 291705.

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., 30633050529 + 54458756496 = 175023^2 + 233364^2 .

It is not a de Polignac number, because 85091807025 - 2¹ = 85091807023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85091807023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4365852 + ... + 4385298.

Almost surely, 2^85091807025 is an apocalyptic number.

85091807025 is the 291705-th square number.

85091807025 is the 145853-rd centered octagonal number.

It is an amenable number.

85091807025 is a deficient number, since it is larger than the sum of its proper divisors (67324911546).

85091807025 is an frugal number, since it uses more digits than its factorization.

85091807025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38910 (or 19455 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 85091807025 in words is "eighty-five billion, ninety-one million, eight hundred seven thousand, twenty-five".