516265300264 has 64 divisors (see below), whose sum is σ = 1130057712000. Its totient is φ = 221021805312.

The previous prime is 516265300259. The next prime is 516265300267. The reversal of 516265300264 is 462003562615.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (516265300267) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2499232 + ... + 2697904.

It is an arithmetic number, because the mean of its divisors is an integer number (17657151750).

Almost surely, 2^516265300264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516265300264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565028856000).

516265300264 is an abundant number, since it is smaller than the sum of its proper divisors (613792411736).

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

516265300264 is a wasteful number, since it uses less digits than its factorization.

516265300264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199647 (or 199629 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

Adding to 516265300264 its reverse (462003562615), we get a palindrome (978268862879).

The spelling of 516265300264 in words is "five hundred sixteen billion, two hundred sixty-five million, three hundred thousand, two hundred sixty-four".