505172100 has 144 divisors (see below), whose sum is σ = 1524652416. Its totient is φ = 129024000.

The previous prime is 505172093. The next prime is 505172159. The reversal of 505172100 is 1271505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787780 + ... + 788420.

It is an arithmetic number, because the mean of its divisors is an integer number (10587864).

Almost surely, 2^505172100 is an apocalyptic number.

505172100 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 505172100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762326208).

505172100 is an abundant number, since it is smaller than the sum of its proper divisors (1019480316).

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

505172100 is a wasteful number, since it uses less digits than its factorization.

505172100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 505172100 is about 22476.0339028041. The cubic root of 505172100 is about 796.4278757335.

The spelling of 505172100 in words is "five hundred five million, one hundred seventy-two thousand, one hundred".