853505102853 has 24 divisors (see below), whose sum is σ = 1330985586840. Its totient is φ = 523924070400.

The previous prime is 853505102803. The next prime is 853505102861. The reversal of 853505102853 is 358201505358.

853505102853 is a `hidden beast` number, since 8 + 5 + 3 + 50 + 510 + 2 + 85 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 209070246564 + 644434856289 = 457242^2 + 802767^2 .

It is not a de Polignac number, because 853505102853 - 2¹³ = 853505094661 is a prime.

It is a super-2 number, since 2×853505102853² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 853505102799 and 853505102808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853505102803) 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 23 ways as a sum of consecutive naturals, for example, 9048988 + ... + 9142821.

It is an arithmetic number, because the mean of its divisors is an integer number (55457732785).

Almost surely, 2^853505102853 is an apocalyptic number.

It is an amenable number.

853505102853 is a deficient number, since it is larger than the sum of its proper divisors (477480483987).

853505102853 is a wasteful number, since it uses less digits than its factorization.

853505102853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18192229 (or 18192226 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 853505102853 in words is "eight hundred fifty-three billion, five hundred five million, one hundred two thousand, eight hundred fifty-three".