505951000 has 128 divisors (see below), whose sum is σ = 1287936000. Its totient is φ = 185328000.

The previous prime is 505950989. The next prime is 505951003. The reversal of 505951000 is 159505.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505951003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588571 + ... + 589429.

It is an arithmetic number, because the mean of its divisors is an integer number (10062000).

Almost surely, 2^505951000 is an apocalyptic number.

505951000 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 505951000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643968000).

505951000 is an abundant number, since it is smaller than the sum of its proper divisors (781985000).

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

505951000 is a wasteful number, since it uses less digits than its factorization.

505951000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 25.

The square root of 505951000 is about 22493.3545741848. The cubic root of 505951000 is about 796.8369898569.

The spelling of 505951000 in words is "five hundred five million, nine hundred fifty-one thousand".