516915082554 has 128 divisors (see below), whose sum is σ = 1187077731840. Its totient is φ = 148652236800.

The previous prime is 516915082553. The next prime is 516915082583. The reversal of 516915082554 is 455280519615.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 516915082497 and 516915082506.

It is not an unprimeable number, because it can be changed into a prime (516915082553) 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 63 ways as a sum of consecutive naturals, for example, 247445142 + ... + 247447230.

It is an arithmetic number, because the mean of its divisors is an integer number (9274044780).

Almost surely, 2^516915082554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516915082554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593538865920).

516915082554 is an abundant number, since it is smaller than the sum of its proper divisors (670162649286).

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

516915082554 is a wasteful number, since it uses less digits than its factorization.

516915082554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336.

The product of its (nonzero) digits is 2160000, while the sum is 51.

The spelling of 516915082554 in words is "five hundred sixteen billion, nine hundred fifteen million, eighty-two thousand, five hundred fifty-four".