39126288520201 has 9 divisors (see below), whose sum is σ = 39206498849301. Its totient is φ = 39046241992704.

The previous prime is 39126288520199. The next prime is 39126288520219. The reversal of 39126288520201 is 10202588262193.

The square root of 39126288520201 is 6255101.

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 15045872967801 + 24080415552400 = 3878901^2 + 4907180^2 .

It is not a de Polignac number, because 39126288520201 - 2¹ = 39126288520199 is a prime.

It is a super-3 number, since 3×39126288520201³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39126288520261) 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, 3183840265 + ... + 3183852553.

Almost surely, 2^{39126288520201} is an apocalyptic number.

39126288520201 is the 6255101-st square number.

39126288520201 is the 3127551-st centered octagonal number.

It is an amenable number.

39126288520201 is a deficient number, since it is larger than the sum of its proper divisors (80210329100).

39126288520201 is an frugal number, since it uses more digits than its factorization.

39126288520201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25596 (or 12798 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 39126288520201 in words is "thirty-nine trillion, one hundred twenty-six billion, two hundred eighty-eight million, five hundred twenty thousand, two hundred one".