505978358541 has 32 divisors (see below), whose sum is σ = 705827712000. Its totient is φ = 322411796784.

The previous prime is 505978358497. The next prime is 505978358549. The reversal of 505978358541 is 145853879505.

505978358541 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 505978358541 - 2⁶ = 505978358477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505978358549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57630690 + ... + 57639468.

It is an arithmetic number, because the mean of its divisors is an integer number (22057116000).

Almost surely, 2^505978358541 is an apocalyptic number.

It is an amenable number.

505978358541 is a deficient number, since it is larger than the sum of its proper divisors (199849353459).

505978358541 is an equidigital number, since it uses as much as digits as its factorization.

505978358541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10430 (or 10384 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 60.

The spelling of 505978358541 in words is "five hundred five billion, nine hundred seventy-eight million, three hundred fifty-eight thousand, five hundred forty-one".