513527348880 has 640 divisors, whose sum is σ = 2179700490240. Its totient is φ = 108214548480.

The previous prime is 513527348861. The next prime is 513527348953. The reversal of 513527348880 is 88843725315.

513527348880 is a `hidden beast` number, since 5 + 1 + 3 + 527 + 34 + 8 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 308794929 + ... + 308796591.

It is an arithmetic number, because the mean of its divisors is an integer number (3405782016).

Almost surely, 2^513527348880 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 513527348880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089850245120).

513527348880 is an abundant number, since it is smaller than the sum of its proper divisors (1666173141360).

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

513527348880 is a wasteful number, since it uses less digits than its factorization.

513527348880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 513527348880 in words is "five hundred thirteen billion, five hundred twenty-seven million, three hundred forty-eight thousand, eight hundred eighty".