85202691025 has 9 divisors (see below), whose sum is σ = 105653146651. Its totient is φ = 68160985240.

The previous prime is 85202691001. The next prime is 85202691029. The reversal of 85202691025 is 52019620258.

The square root of 85202691025 is 291895.

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., 30672968769 + 54529722256 = 175137^2 + 233516^2 .

It is not a de Polignac number, because 85202691025 - 2⁷ = 85202690897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85202691029) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1430286 + ... + 1488664.

Almost surely, 2^85202691025 is an apocalyptic number.

85202691025 is the 291895-th square number.

85202691025 is the 145948-th centered octagonal number.

It is an amenable number.

85202691025 is a deficient number, since it is larger than the sum of its proper divisors (20450455626).

85202691025 is an frugal number, since it uses more digits than its factorization.

85202691025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116768 (or 58384 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 85202691025 in words is "eighty-five billion, two hundred two million, six hundred ninety-one thousand, twenty-five".