516413661554100 has 72 divisors (see below), whose sum is σ = 1498389600052800. Its totient is φ = 137320195527680.

The previous prime is 516413661554083. The next prime is 516413661554221. The reversal of 516413661554100 is 1455166314615.

It is a super-3 number, since 3×516413661554100³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 516413661554100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2438107800 + ... + 2438319599.

It is an arithmetic number, because the mean of its divisors is an integer number (20810966667400).

Almost surely, 2^{516413661554100} is an apocalyptic number.

516413661554100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

516413661554100 is an abundant number, since it is smaller than the sum of its proper divisors (981975938498700).

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

516413661554100 is a wasteful number, since it uses less digits than its factorization.

516413661554100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876427769 (or 4876427762 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 516413661554100 in words is "five hundred sixteen trillion, four hundred thirteen billion, six hundred sixty-one million, five hundred fifty-four thousand, one hundred".