516505556610 has 96 divisors (see below), whose sum is σ = 1393528106880. Its totient is φ = 137648170368.

The previous prime is 516505556603. The next prime is 516505556629. The reversal of 516505556610 is 16655505615.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3843819 + ... + 3975921.

It is an arithmetic number, because the mean of its divisors is an integer number (14515917780).

Almost surely, 2^516505556610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516505556610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696764053440).

516505556610 is an abundant number, since it is smaller than the sum of its proper divisors (877022550270).

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

516505556610 is a wasteful number, since it uses less digits than its factorization.

516505556610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133734 (or 133722 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 516505556610 in words is "five hundred sixteen billion, five hundred five million, five hundred fifty-six thousand, six hundred ten".