5181408325 has 24 divisors (see below), whose sum is σ = 6807508488. Its totient is φ = 3898644480.

The previous prime is 5181408307. The next prime is 5181408343. The reversal of 5181408325 is 5238041815.

It is a Cunningham number, because it is equal to 71982²+1.

It is an interprime number because it is at equal distance from previous prime (5181408307) and next prime (5181408343).

It can be written as a sum of positive squares in 12 ways, for example, as 1 + 5181408324 = 1^2 + 71982^2 .

It is not a de Polignac number, because 5181408325 - 2¹¹ = 5181406277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809839 + ... + 816211.

It is an arithmetic number, because the mean of its divisors is an integer number (283646187).

Almost surely, 2^5181408325 is an apocalyptic number.

It is an amenable number.

5181408325 is a deficient number, since it is larger than the sum of its proper divisors (1626100163).

5181408325 is a wasteful number, since it uses less digits than its factorization.

5181408325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8313 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 5181408325 is about 71982.0000069462. Note that the first 5 decimals coincide. The cubic root of 5181408325 is about 1730.4110225461.

The spelling of 5181408325 in words is "five billion, one hundred eighty-one million, four hundred eight thousand, three hundred twenty-five".