513245143440 has 60 divisors (see below), whose sum is σ = 1723648275804. Its totient is φ = 136865371392.

The previous prime is 513245143423. The next prime is 513245143483. The reversal of 513245143440 is 44341542315.

513245143440 is a `hidden beast` number, since 5 + 1 + 32 + 45 + 143 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113679562896 + 399565580544 = 337164^2 + 632112^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 513245143395 and 513245143404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356419519 + ... + 356420958.

Almost surely, 2^513245143440 is an apocalyptic number.

It is an amenable number.

513245143440 is an abundant number, since it is smaller than the sum of its proper divisors (1210403132364).

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

513245143440 is a wasteful number, since it uses less digits than its factorization.

513245143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712840496 (or 712840487 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 513245143440 its reverse (44341542315), we get a palindrome (557586685755).

The spelling of 513245143440 in words is "five hundred thirteen billion, two hundred forty-five million, one hundred forty-three thousand, four hundred forty".