480825125431181 has 2 divisors, whose sum is σ = 480825125431182. Its totient is φ = 480825125431180.

The previous prime is 480825125431177. The next prime is 480825125431219. The reversal of 480825125431181 is 181134521528084.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 259478424255556 + 221346701175625 = 16108334^2 + 14877725^2 .

It is a cyclic number.

It is not a de Polignac number, because 480825125431181 - 2² = 480825125431177 is a prime.

It is a super-3 number, since 3×480825125431181³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (480825125431111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240412562715590 + 240412562715591.

It is an arithmetic number, because the mean of its divisors is an integer number (240412562715591).

Almost surely, 2^{480825125431181} is an apocalyptic number.

It is an amenable number.

480825125431181 is a deficient number, since it is larger than the sum of its proper divisors (1).

480825125431181 is an equidigital number, since it uses as much as digits as its factorization.

480825125431181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2457600, while the sum is 53.

The spelling of 480825125431181 in words is "four hundred eighty trillion, eight hundred twenty-five billion, one hundred twenty-five million, four hundred thirty-one thousand, one hundred eighty-one".