197813282581321 has 9 divisors (see below), whose sum is σ = 217431298841799. Its totient is φ = 179830116246000.

The previous prime is 197813282581309. The next prime is 197813282581331. The reversal of 197813282581321 is 123185282318791.

The square root of 197813282581321 is 14064611.

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., 7939213510921 + 189874069070400 = 2817661^2 + 13779480^2 .

It is a de Polignac number, because none of the positive numbers 2^k-197813282581321 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 197813282581321.

It is not an unprimeable number, because it can be changed into a prime (197813282581301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 154071421 + ... + 155350021.

Almost surely, 2^{197813282581321} is an apocalyptic number.

197813282581321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

197813282581321 is the 14064611-st square number.

197813282581321 is the 7032306-th centered octagonal number.

It is an amenable number.

197813282581321 is a deficient number, since it is larger than the sum of its proper divisors (19618016260478).

197813282581321 is an frugal number, since it uses more digits than its factorization.

197813282581321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557224 (or 1278612 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 61.

The spelling of 197813282581321 in words is "one hundred ninety-seven trillion, eight hundred thirteen billion, two hundred eighty-two million, five hundred eighty-one thousand, three hundred twenty-one".