513232327440 has 640 divisors, whose sum is σ = 2129863680000. Its totient is φ = 110969616384.

The previous prime is 513232327429. The next prime is 513232327469. The reversal of 513232327440 is 44723232315.

513232327440 is a `hidden beast` number, since 5 + 1 + 323 + 2 + 327 + 4 + 4 + 0 = 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 = 513232327395 and 513232327404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 366855861 + ... + 366857259.

It is an arithmetic number, because the mean of its divisors is an integer number (3327912000).

Almost surely, 2^513232327440 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 513232327440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064931840000).

513232327440 is an abundant number, since it is smaller than the sum of its proper divisors (1616631352560).

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

513232327440 is a wasteful number, since it uses less digits than its factorization.

513232327440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 513232327440 its reverse (44723232315), we get a palindrome (557955559755).

The spelling of 513232327440 in words is "five hundred thirteen billion, two hundred thirty-two million, three hundred twenty-seven thousand, four hundred forty".