85957393085041 has 9 divisors (see below), whose sum is σ = 86509844613441. Its totient is φ = 85408447439952.

The previous prime is 85957393085029. The next prime is 85957393085063. The reversal of 85957393085041 is 14058039375958.

The square root of 85957393085041 is 9271321.

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 23917195651441 + 62040197433600 = 4890521^2 + 7876560^2 .

It is not a de Polignac number, because 85957393085041 - 2¹¹ = 85957393082993 is a prime.

It is a super-3 number, since 3×85957393085041³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85957393985041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1455567871 + ... + 1455626923.

It is an arithmetic number, because the mean of its divisors is an integer number (9612204957049).

Almost surely, 2^{85957393085041} is an apocalyptic number.

85957393085041 is the 9271321-st square number.

85957393085041 is the 4635661-st centered octagonal number.

It is an amenable number.

85957393085041 is a deficient number, since it is larger than the sum of its proper divisors (552451528400).

85957393085041 is an frugal number, since it uses more digits than its factorization.

85957393085041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118420 (or 59210 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 67.

The spelling of 85957393085041 in words is "eighty-five trillion, nine hundred fifty-seven billion, three hundred ninety-three million, eighty-five thousand, forty-one".