505255105530 has 192 divisors, whose sum is σ = 1521622222848. Its totient is φ = 113929960320.

The previous prime is 505255105501. The next prime is 505255105561. The reversal of 505255105530 is 35501552505.

505255105530 is a `hidden beast` number, since 5 + 0 + 52 + 5 + 51 + 0 + 553 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38008185 + ... + 38021475.

It is an arithmetic number, because the mean of its divisors is an integer number (7925115744).

Almost surely, 2^505255105530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505255105530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760811111424).

505255105530 is an abundant number, since it is smaller than the sum of its proper divisors (1016367117318).

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

505255105530 is a wasteful number, since it uses less digits than its factorization.

505255105530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14121 (or 14118 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The spelling of 505255105530 in words is "five hundred five billion, two hundred fifty-five million, one hundred five thousand, five hundred thirty".