725412104505 has 192 divisors, whose sum is σ = 1468168955136. Its totient is φ = 327444480000.

The previous prime is 725412104503. The next prime is 725412104513. The reversal of 725412104505 is 505401214527.

725412104505 is a `hidden beast` number, since 7 + 2 + 5 + 41 + 2 + 104 + 505 = 666.

It is not a de Polignac number, because 725412104505 - 2¹ = 725412104503 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 725412104505.

It is not an unprimeable number, because it can be changed into a prime (725412104503) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 381594055 + ... + 381595955.

It is an arithmetic number, because the mean of its divisors is an integer number (7646713308).

Almost surely, 2^725412104505 is an apocalyptic number.

It is an amenable number.

725412104505 is an abundant number, since it is smaller than the sum of its proper divisors (742756850631).

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

725412104505 is a wasteful number, since it uses less digits than its factorization.

725412104505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 725412104505 in words is "seven hundred twenty-five billion, four hundred twelve million, one hundred four thousand, five hundred five".