516506001500 has 96 divisors (see below), whose sum is σ = 1147111580160. Its totient is φ = 203114496000.

The previous prime is 516506001469. The next prime is 516506001527. The reversal of 516506001500 is 5100605615.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101531957 + ... + 101537043.

It is an arithmetic number, because the mean of its divisors is an integer number (11949078960).

Almost surely, 2^516506001500 is an apocalyptic number.

516506001500 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 516506001500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573555790080).

516506001500 is an abundant number, since it is smaller than the sum of its proper divisors (630605578660).

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

516506001500 is a wasteful number, since it uses less digits than its factorization.

516506001500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496 (or 8484 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 516506001500 in words is "five hundred sixteen billion, five hundred six million, one thousand, five hundred".