516652500 has 240 divisors, whose sum is σ = 1856505728. Its totient is φ = 108864000.

The previous prime is 516652483. The next prime is 516652523. The reversal of 516652500 is 5256615.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 682122 + ... + 682878.

Almost surely, 2^516652500 is an apocalyptic number.

516652500 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 516652500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928252864).

516652500 is an abundant number, since it is smaller than the sum of its proper divisors (1339853228).

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

516652500 is a wasteful number, since it uses less digits than its factorization.

516652500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 516652500 is about 22729.9912010542. The cubic root of 516652500 is about 802.4158741795.

The spelling of 516652500 in words is "five hundred sixteen million, six hundred fifty-two thousand, five hundred".