505101000 has 128 divisors (see below), whose sum is σ = 1592472960. Its totient is φ = 133280000.

The previous prime is 505100983. The next prime is 505101041. The reversal of 505101000 is 101505.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302167 + ... + 303833.

It is an arithmetic number, because the mean of its divisors is an integer number (12441195).

Almost surely, 2^505101000 is an apocalyptic number.

505101000 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 505101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796236480).

505101000 is an abundant number, since it is smaller than the sum of its proper divisors (1087371960).

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

505101000 is a wasteful number, since it uses less digits than its factorization.

505101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 505101000 is about 22474.4521623999. The cubic root of 505101000 is about 796.3905098017.

Adding to 505101000 its reverse (101505), we get a palindrome (505202505).

The spelling of 505101000 in words is "five hundred five million, one hundred one thousand".