513513315552544 has 48 divisors (see below), whose sum is σ = 1012253818212000. Its totient is φ = 256433131113984.

The previous prime is 513513315552533. The next prime is 513513315552607. The reversal of 513513315552544 is 445255513315315.

It is a junction number, because it is equal to n+sod(n) for n = 513513315552491 and 513513315552500.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107051119 + ... + 111745105.

It is an arithmetic number, because the mean of its divisors is an integer number (21088621212750).

Almost surely, 2^{513513315552544} is an apocalyptic number.

It is an amenable number.

513513315552544 is a deficient number, since it is larger than the sum of its proper divisors (498740502659456).

513513315552544 is a wasteful number, since it uses less digits than its factorization.

513513315552544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698305 (or 4698297 counting only the distinct ones).

The product of its digits is 13500000, while the sum is 52.

Adding to 513513315552544 its reverse (445255513315315), we get a palindrome (958768828867859).

The spelling of 513513315552544 in words is "five hundred thirteen trillion, five hundred thirteen billion, three hundred fifteen million, five hundred fifty-two thousand, five hundred forty-four".