50509000 has 64 divisors (see below), whose sum is σ = 120547440. Its totient is φ = 19801600.

The previous prime is 50508979. The next prime is 50509001. The reversal of 50509000 is 90505.

It can be written as a sum of positive squares in 8 ways, for example, as 3147076 + 47361924 = 1774^2 + 6882^2 .

It is not an unprimeable number, because it can be changed into a prime (50509001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52524 + ... + 53476.

Almost surely, 2^50509000 is an apocalyptic number.

50509000 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 50509000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60273720).

50509000 is an abundant number, since it is smaller than the sum of its proper divisors (70038440).

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

50509000 is a wasteful number, since it uses less digits than its factorization.

50509000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 50509000 is about 7106.9684113552. The cubic root of 50509000 is about 369.6490463263.

Adding to 50509000 its reverse (90505), we get a palindrome (50599505).

The spelling of 50509000 in words is "fifty million, five hundred nine thousand".