513515411640 has 1600 divisors, whose sum is σ = 2332372980960. Its totient is φ = 100143267840.

The previous prime is 513515411599. The next prime is 513515411659. The reversal of 513515411640 is 46114515315.

513515411640 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 1 + 5 + 4 + 1 + 1 + 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 = 513515411595 and 513515411604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 1454717704 + ... + 1454718056.

Almost surely, 2^513515411640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513515411640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166186490480).

513515411640 is an abundant number, since it is smaller than the sum of its proper divisors (1818857569320).

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

513515411640 is a wasteful number, since it uses less digits than its factorization.

513515411640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 513515411640 its reverse (46114515315), we get a palindrome (559629926955).

The spelling of 513515411640 in words is "five hundred thirteen billion, five hundred fifteen million, four hundred eleven thousand, six hundred forty".