506708891000 has 256 divisors, whose sum is σ = 1358033040000. Its totient is φ = 175409971200.

The previous prime is 506708890969. The next prime is 506708891009. The reversal of 506708891000 is 198807605.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506708891009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23948426 + ... + 23969574.

Almost surely, 2^506708891000 is an apocalyptic number.

506708891000 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 506708891000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679016520000).

506708891000 is an abundant number, since it is smaller than the sum of its proper divisors (851324149000).

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

506708891000 is a wasteful number, since it uses less digits than its factorization.

506708891000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21299 (or 21285 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The spelling of 506708891000 in words is "five hundred six billion, seven hundred eight million, eight hundred ninety-one thousand".