516265340500 has 192 divisors, whose sum is σ = 1395953395200. Its totient is φ = 163387036800.

The previous prime is 516265340489. The next prime is 516265340501. The reversal of 516265340500 is 5043562615.

It is a self number, because there is not a number n which added to its sum of digits gives 516265340500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516265340501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7655931 + ... + 7723069.

It is an arithmetic number, because the mean of its divisors is an integer number (7270590600).

Almost surely, 2^516265340500 is an apocalyptic number.

516265340500 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 516265340500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697976697600).

516265340500 is an abundant number, since it is smaller than the sum of its proper divisors (879688054700).

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

516265340500 is a wasteful number, since it uses less digits than its factorization.

516265340500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67204 (or 67166 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 516265340500 in words is "five hundred sixteen billion, two hundred sixty-five million, three hundred forty thousand, five hundred".