853145948281 has 9 divisors (see below), whose sum is σ = 937766631823. Its totient is φ = 775577989120.

The previous prime is 853145948267. The next prime is 853145948293. The reversal of 853145948281 is 182849541358.

The square root of 853145948281 is 923659.

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., 789359394681 + 63786553600 = 888459^2 + 252560^2 .

It is a de Polignac number, because none of the positive numbers 2^k-853145948281 is a prime.

It is a super-2 number, since 2×853145948281² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (853145988281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10118265 + ... + 10202233.

Almost surely, 2^853145948281 is an apocalyptic number.

853145948281 is the 923659-th square number.

853145948281 is the 461830-th centered octagonal number.

It is an amenable number.

853145948281 is a deficient number, since it is larger than the sum of its proper divisors (84620683542).

853145948281 is an frugal number, since it uses more digits than its factorization.

853145948281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167960 (or 83980 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 58.

The spelling of 853145948281 in words is "eight hundred fifty-three billion, one hundred forty-five million, nine hundred forty-eight thousand, two hundred eighty-one".