513406521540 has 288 divisors, whose sum is σ = 1800727044480. Its totient is φ = 117018316800.

The previous prime is 513406521499. The next prime is 513406521541. The reversal of 513406521540 is 45125604315.

513406521540 is a `hidden beast` number, since 5 + 1 + 34 + 0 + 65 + 21 + 540 = 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 = 513406521495 and 513406521504.

It is not an unprimeable number, because it can be changed into a prime (513406521541) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 34359391 + ... + 34374329.

It is an arithmetic number, because the mean of its divisors is an integer number (6252524460).

Almost surely, 2^513406521540 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 513406521540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900363522240).

513406521540 is an abundant number, since it is smaller than the sum of its proper divisors (1287320522940).

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

513406521540 is a wasteful number, since it uses less digits than its factorization.

513406521540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16003 (or 15998 counting only the distinct ones).

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

The spelling of 513406521540 in words is "five hundred thirteen billion, four hundred six million, five hundred twenty-one thousand, five hundred forty".