505187781504 has 128 divisors (see below), whose sum is σ = 1537433498880. Its totient is φ = 143979110400.

The previous prime is 505187781503. The next prime is 505187781517. The reversal of 505187781504 is 405187781505.

It is a happy number.

505187781504 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505187781503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843547 + ... + 1312229.

It is an arithmetic number, because the mean of its divisors is an integer number (12011199210).

Almost surely, 2^505187781504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505187781504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768716749440).

505187781504 is an abundant number, since it is smaller than the sum of its proper divisors (1032245717376).

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

505187781504 is a wasteful number, since it uses less digits than its factorization.

505187781504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469108 (or 469096 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 51.

Subtracting from 505187781504 its reverse (405187781505), we obtain a palindrome (99999999999).

The spelling of 505187781504 in words is "five hundred five billion, one hundred eighty-seven million, seven hundred eighty-one thousand, five hundred four".