85545135361 has 45 divisors (see below), whose sum is σ = 102774429249. Its totient is φ = 71199234792.

The previous prime is 85545135343. The next prime is 85545135367. The reversal of 85545135361 is 16353154558.

It is a happy number.

The square root of 85545135361 is 292481.

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

It is not a de Polignac number, because 85545135361 - 2¹⁵ = 85545102593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85545135367) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 673583680 + ... + 673583806.

Almost surely, 2^85545135361 is an apocalyptic number.

85545135361 is the 292481-st square number.

85545135361 is the 146241-st centered octagonal number.

It is an amenable number.

85545135361 is a deficient number, since it is larger than the sum of its proper divisors (17229293888).

85545135361 is an frugal number, since it uses more digits than its factorization.

85545135361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 181 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 46.

The spelling of 85545135361 in words is "eighty-five billion, five hundred forty-five million, one hundred thirty-five thousand, three hundred sixty-one".