39555936001201 has 15 divisors (see below), whose sum is σ = 40334641556781. Its totient is φ = 38792264134728.

The previous prime is 39555936001199. The next prime is 39555936001217. The reversal of 39555936001201 is 10210063955593.

The square root of 39555936001201 is 6289351.

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

It can be written as a sum of positive squares in 2 ways, for example, as 7720612402801 + 31835323598400 = 2778599^2 + 5642280^2 .

It is not a de Polignac number, because 39555936001201 - 2¹ = 39555936001199 is a prime.

It is a super-3 number, since 3×39555936001201³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39555936002201) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17666785840 + ... + 17666788078.

Almost surely, 2^{39555936001201} is an apocalyptic number.

39555936001201 is the 6289351-st square number.

39555936001201 is the 3144676-th centered octagonal number.

It is an amenable number.

39555936001201 is a deficient number, since it is larger than the sum of its proper divisors (778705555580).

39555936001201 is an frugal number, since it uses more digits than its factorization.

39555936001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 1093500, while the sum is 49.

Adding to 39555936001201 its reverse (10210063955593), we get a palindrome (49765999956794).

The spelling of 39555936001201 in words is "thirty-nine trillion, five hundred fifty-five billion, nine hundred thirty-six million, one thousand, two hundred one".