193530486241 has 27 divisors (see below), whose sum is σ = 209386731603. Its totient is φ = 178854281760.

The previous prime is 193530486221. The next prime is 193530486251. The reversal of 193530486241 is 142684035391.

It is a happy number.

The square root of 193530486241 is 439921.

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., 5604768225 + 187925718016 = 74865^2 + 433504^2 .

It is a de Polignac number, because none of the positive numbers 2^k-193530486241 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 193530486191 and 193530486200.

It is not an unprimeable number, because it can be changed into a prime (193530486221) 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, 313663365 + ... + 313663981.

Almost surely, 2^193530486241 is an apocalyptic number.

193530486241 is the 439921-st square number.

193530486241 is the 219961-st centered octagonal number.

It is an amenable number.

193530486241 is a deficient number, since it is larger than the sum of its proper divisors (15856245362).

193530486241 is an frugal number, since it uses more digits than its factorization.

193530486241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 193530486241 in words is "one hundred ninety-three billion, five hundred thirty million, four hundred eighty-six thousand, two hundred forty-one".