505411442441325 has 72 divisors (see below), whose sum is σ = 1034655159635136. Its totient is φ = 231026033952000.

The previous prime is 505411442441303. The next prime is 505411442441327. The reversal of 505411442441325 is 523144244114505.

505411442441325 is a `hidden beast` number, since 5 + 0 + 5 + 41 + 1 + 44 + 244 + 1 + 325 = 666.

It is not a de Polignac number, because 505411442441325 - 2⁷ = 505411442441197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505411442441327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5639430 + ... + 32289720.

It is an arithmetic number, because the mean of its divisors is an integer number (14370210550488).

Almost surely, 2^{505411442441325} is an apocalyptic number.

It is an amenable number.

505411442441325 is an abundant number, since it is smaller than the sum of its proper divisors (529243717193811).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505411442441325 is a wasteful number, since it uses less digits than its factorization.

505411442441325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26662355 (or 26662347 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 505411442441325 in words is "five hundred five trillion, four hundred eleven billion, four hundred forty-two million, four hundred forty-one thousand, three hundred twenty-five".