513001135040 has 56 divisors (see below), whose sum is σ = 1228645264320. Its totient is φ = 204014302208.

The previous prime is 513001134949. The next prime is 513001135051. The reversal of 513001135040 is 40531100315.

It is a junction number, because it is equal to n+sod(n) for n = 513001134997 and 513001135015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4577960 + ... + 4688679.

Almost surely, 2^513001135040 is an apocalyptic number.

It is an amenable number.

513001135040 is an abundant number, since it is smaller than the sum of its proper divisors (715644129280).

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

513001135040 is a wasteful number, since it uses less digits than its factorization.

513001135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9266829 (or 9266819 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 513001135040 its reverse (40531100315), we get a palindrome (553532235355).

The spelling of 513001135040 in words is "five hundred thirteen billion, one million, one hundred thirty-five thousand, forty".