516516146553 has 16 divisors (see below), whose sum is σ = 758734794432. Its totient is φ = 309940680000.

The previous prime is 516516146543. The next prime is 516516146557. The reversal of 516516146553 is 355641615615.

It is a happy number.

516516146553 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 516516146553 - 2²⁰ = 516515097977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (516516146557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77481838 + ... + 77488503.

It is an arithmetic number, because the mean of its divisors is an integer number (47420924652).

Almost surely, 2^516516146553 is an apocalyptic number.

It is an amenable number.

516516146553 is a deficient number, since it is larger than the sum of its proper divisors (242218647879).

516516146553 is a wasteful number, since it uses less digits than its factorization.

516516146553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154970456.

The product of its digits is 1620000, while the sum is 48.

The spelling of 516516146553 in words is "five hundred sixteen billion, five hundred sixteen million, one hundred forty-six thousand, five hundred fifty-three".