505010101000 has 128 divisors (see below), whose sum is σ = 1246124880000. Its totient is φ = 191032992000.

The previous prime is 505010100961. The next prime is 505010101003. The reversal of 505010101000 is 101010505.

It is a super-2 number, since 2×505010101000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505010101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10825726 + ... + 10872274.

It is an arithmetic number, because the mean of its divisors is an integer number (9735350625).

Almost surely, 2^505010101000 is an apocalyptic number.

505010101000 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 505010101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623062440000).

505010101000 is an abundant number, since it is smaller than the sum of its proper divisors (741114779000).

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

505010101000 is a wasteful number, since it uses less digits than its factorization.

505010101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47160 (or 47146 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

Adding to 505010101000 its reverse (101010505), we get a palindrome (505111111505).

The spelling of 505010101000 in words is "five hundred five billion, ten million, one hundred one thousand".