393741275697225 has 81 divisors (see below), whose sum is σ = 724830181189023. Its totient is φ = 204314082359040.

The previous prime is 393741275697179. The next prime is 393741275697229. The reversal of 393741275697225 is 522796572147393.

The square root of 393741275697225 is 19842915.

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

393741275697225 is a `hidden beast` number, since 3 + 9 + 3 + 7 + 41 + 275 + 6 + 97 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 100120983561 + 393641154713664 = 316419^2 + 19840392^2 .

It is a de Polignac number, because none of the positive numbers 2^k-393741275697225 is a prime.

It is not an unprimeable number, because it can be changed into a prime (393741275697229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11012799949 + ... + 11012835701.

Almost surely, 2^{393741275697225} is an apocalyptic number.

393741275697225 is the 19842915-th square number.

393741275697225 is the 9921458-th centered octagonal number.

It is an amenable number.

393741275697225 is a deficient number, since it is larger than the sum of its proper divisors (331088905491798).

393741275697225 is an frugal number, since it uses more digits than its factorization.

393741275697225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71596 (or 35798 counting only the distinct ones).

The product of its digits is 1200225600, while the sum is 72.

The spelling of 393741275697225 in words is "three hundred ninety-three trillion, seven hundred forty-one billion, two hundred seventy-five million, six hundred ninety-seven thousand, two hundred twenty-five".