85177006201 has 27 divisors (see below), whose sum is σ = 100074744333. Its totient is φ = 72285655680.

The previous prime is 85177006199. The next prime is 85177006207. The reversal of 85177006201 is 10260077158.

The square root of 85177006201 is 291851.

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

It can be written as a sum of positive squares in 4 ways, for example, as 39091221225 + 46085784976 = 197715^2 + 214676^2 .

It is not a de Polignac number, because 85177006201 - 2¹ = 85177006199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85177006207) 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, 353431441 + ... + 353431681.

Almost surely, 2^85177006201 is an apocalyptic number.

85177006201 is the 291851-st square number.

85177006201 is the 145926-th centered octagonal number.

It is an amenable number.

85177006201 is a deficient number, since it is larger than the sum of its proper divisors (14897738132).

85177006201 is an frugal number, since it uses more digits than its factorization.

85177006201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The spelling of 85177006201 in words is "eighty-five billion, one hundred seventy-seven million, six thousand, two hundred one".