505100550000 has 240 divisors, whose sum is σ = 1645965588960. Its totient is φ = 133453440000.

The previous prime is 505100549939. The next prime is 505100550001. The reversal of 505100550000 is 55001505.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×505100550000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505100550001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16334554 + ... + 16365446.

It is an arithmetic number, because the mean of its divisors is an integer number (6858189954).

Almost surely, 2^505100550000 is an apocalyptic number.

505100550000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505100550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822982794480).

505100550000 is an abundant number, since it is smaller than the sum of its proper divisors (1140865038960).

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

505100550000 is a wasteful number, since it uses less digits than its factorization.

505100550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31038 (or 31012 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 21.

Adding to 505100550000 its reverse (55001505), we get a palindrome (505155551505).

The spelling of 505100550000 in words is "five hundred five billion, one hundred million, five hundred fifty thousand".