513402520640 has 28 divisors (see below), whose sum is σ = 1222539753036. Its totient is φ = 205361008128.

The previous prime is 513402520613. The next prime is 513402520661. The reversal of 513402520640 is 46025204315.

It can be written as a sum of positive squares in 2 ways, for example, as 235597627456 + 277804893184 = 485384^2 + 527072^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 513402520597 and 513402520606.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 802191119 + ... + 802191758.

It is an arithmetic number, because the mean of its divisors is an integer number (43662134037).

Almost surely, 2^513402520640 is an apocalyptic number.

It is an amenable number.

513402520640 is an abundant number, since it is smaller than the sum of its proper divisors (709137232396).

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

513402520640 is a wasteful number, since it uses less digits than its factorization.

513402520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604382894 (or 1604382884 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 513402520640 its reverse (46025204315), we get a palindrome (559427724955).

The spelling of 513402520640 in words is "five hundred thirteen billion, four hundred two million, five hundred twenty thousand, six hundred forty".