5207081301409 has 27 divisors (see below), whose sum is σ = 5668761740313. Its totient is φ = 4780824102912.

The previous prime is 5207081301361. The next prime is 5207081301413. The reversal of 5207081301409 is 9041031807025.

The square root of 5207081301409 is 2281903.

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 370336753809 + 4836744547600 = 608553^2 + 2199260^2 .

It is not a de Polignac number, because 5207081301409 - 2⁷ = 5207081301281 is a prime.

It is a super-2 number, since 2×5207081301409² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5207081307409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7623837582 + ... + 7623838264.

Almost surely, 2^{5207081301409} is an apocalyptic number.

5207081301409 is the 2281903-rd square number.

5207081301409 is the 1140952-nd centered octagonal number.

It is an amenable number.

5207081301409 is a deficient number, since it is larger than the sum of its proper divisors (461680438904).

5207081301409 is an frugal number, since it uses more digits than its factorization.

5207081301409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 5207081301409 in words is "five trillion, two hundred seven billion, eighty-one million, three hundred one thousand, four hundred nine".