505105010564 has 192 divisors, whose sum is σ = 1161813639168. Its totient is φ = 186422860800.

The previous prime is 505105010561. The next prime is 505105010567. The reversal of 505105010564 is 465010501505.

It is an interprime number because it is at equal distance from previous prime (505105010561) and next prime (505105010567).

It is a self number, because there is not a number n which added to its sum of digits gives 505105010564.

It is not an unprimeable number, because it can be changed into a prime (505105010561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339679829 + ... + 339681315.

It is an arithmetic number, because the mean of its divisors is an integer number (6051112704).

Almost surely, 2^505105010564 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 505105010564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580906819584).

505105010564 is an abundant number, since it is smaller than the sum of its proper divisors (656708628604).

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

505105010564 is a wasteful number, since it uses less digits than its factorization.

505105010564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 32.

The spelling of 505105010564 in words is "five hundred five billion, one hundred five million, ten thousand, five hundred sixty-four".