513425105640 has 96 divisors (see below), whose sum is σ = 1741180821120. Its totient is φ = 130960604544.

The previous prime is 513425105603. The next prime is 513425105717. The reversal of 513425105640 is 46501524315.

513425105640 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 2 + 5 + 1 + 0 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 513425105595 and 513425105604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30995652 + ... + 31012211.

It is an arithmetic number, because the mean of its divisors is an integer number (18137300220).

Almost surely, 2^513425105640 is an apocalyptic number.

It is an amenable number.

513425105640 is an abundant number, since it is smaller than the sum of its proper divisors (1227755715480).

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

513425105640 is a wasteful number, since it uses less digits than its factorization.

513425105640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62007903 (or 62007896 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 513425105640 its reverse (46501524315), we get a palindrome (559926629955).

The spelling of 513425105640 in words is "five hundred thirteen billion, four hundred twenty-five million, one hundred five thousand, six hundred forty".