395139217201 has 9 divisors (see below), whose sum is σ = 397319168001. Its totient is φ = 392971172352.

The previous prime is 395139217181. The next prime is 395139217217. The reversal of 395139217201 is 102712931593.

The square root of 395139217201 is 628601.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6312143601 + 388827073600 = 79449^2 + 623560^2 .

It is not a de Polignac number, because 395139217201 - 2⁷ = 395139217073 is a prime.

It is a super-2 number, since 2×395139217201² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (395139217261) 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, 121318365 + ... + 121321621.

Almost surely, 2^395139217201 is an apocalyptic number.

395139217201 is the 628601-st square number.

395139217201 is the 314301-st centered octagonal number.

It is an amenable number.

395139217201 is a deficient number, since it is larger than the sum of its proper divisors (2179950800).

395139217201 is an frugal number, since it uses more digits than its factorization.

395139217201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6900 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The spelling of 395139217201 in words is "three hundred ninety-five billion, one hundred thirty-nine million, two hundred seventeen thousand, two hundred one".