5182416121 has 9 divisors (see below), whose sum is σ = 5223410829. Its totient is φ = 5141742336.

The previous prime is 5182416061. The next prime is 5182416133. The reversal of 5182416121 is 1216142815.

The square root of 5182416121 is 71989.

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 262796521 + 4919619600 = 16211^2 + 70140^2 .

It is a de Polignac number, because none of the positive numbers 2^k-5182416121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5182416181) 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, 13893691 + ... + 13894063.

It is an arithmetic number, because the mean of its divisors is an integer number (580378981).

Almost surely, 2^5182416121 is an apocalyptic number.

5182416121 is the 71989-th square number.

5182416121 is the 35995-th centered octagonal number.

It is an amenable number.

5182416121 is a deficient number, since it is larger than the sum of its proper divisors (40994708).

5182416121 is an frugal number, since it uses more digits than its factorization.

5182416121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 566 counting only the distinct ones).

The product of its digits is 3840, while the sum is 31.

The cubic root of 5182416121 is about 1730.5232049326.

Adding to 5182416121 its reverse (1216142815), we get a palindrome (6398558936).

The spelling of 5182416121 in words is "five billion, one hundred eighty-two million, four hundred sixteen thousand, one hundred twenty-one".