85018313241 has 27 divisors (see below), whose sum is σ = 124407866037. Its totient is φ = 55948178520.

The previous prime is 85018313153. The next prime is 85018313291. The reversal of 85018313241 is 14231381058.

The square root of 85018313241 is 291579.

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

85018313241 is a `hidden beast` number, since 8 + 501 + 83 + 1 + 32 + 41 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-85018313241 is a prime.

It is a super-2 number, since 2×85018313241² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85018313196 and 85018313205.

It is not an unprimeable number, because it can be changed into a prime (85018313291) 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, 72602586 + ... + 72603756.

Almost surely, 2^85018313241 is an apocalyptic number.

85018313241 is the 291579-th square number.

85018313241 is the 145790-th centered octagonal number.

It is an amenable number.

85018313241 is a deficient number, since it is larger than the sum of its proper divisors (39389552796).

85018313241 is an frugal number, since it uses more digits than its factorization.

85018313241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 85018313241 by its sum of digits (36), we get a square (3060659276676 = 1749474²).

Adding to 85018313241 its reverse (14231381058), we get a palindrome (99249694299).

The spelling of 85018313241 in words is "eighty-five billion, eighteen million, three hundred thirteen thousand, two hundred forty-one".