513525416640 has 112 divisors (see below), whose sum is σ = 1630818696192. Its totient is φ = 136908573696.

The previous prime is 513525416629. The next prime is 513525416641. The reversal of 513525416640 is 46614525315.

It is a junction number, because it is equal to n+sod(n) for n = 513525416592 and 513525416601.

It is not an unprimeable number, because it can be changed into a prime (513525416641) 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, 4267377 + ... + 4386063.

It is an arithmetic number, because the mean of its divisors is an integer number (14560881216).

Almost surely, 2^513525416640 is an apocalyptic number.

It is an amenable number.

513525416640 is an abundant number, since it is smaller than the sum of its proper divisors (1117293279552).

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

513525416640 is a wasteful number, since it uses less digits than its factorization.

513525416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123214 (or 123204 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 513525416640 in words is "five hundred thirteen billion, five hundred twenty-five million, four hundred sixteen thousand, six hundred forty".