513041544440 has 128 divisors (see below), whose sum is σ = 1206030988800. Its totient is φ = 196199055360.

The previous prime is 513041544413. The next prime is 513041544497. The reversal of 513041544440 is 44445140315.

It is a self number, because there is not a number n which added to its sum of digits gives 513041544440.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 47706104 + ... + 47716856.

It is an arithmetic number, because the mean of its divisors is an integer number (9422117100).

Almost surely, 2^513041544440 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 513041544440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603015494400).

513041544440 is an abundant number, since it is smaller than the sum of its proper divisors (692989444360).

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

513041544440 is a wasteful number, since it uses less digits than its factorization.

513041544440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11257 (or 11253 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 513041544440 its reverse (44445140315), we get a palindrome (557486684755).

The spelling of 513041544440 in words is "five hundred thirteen billion, forty-one million, five hundred forty-four thousand, four hundred forty".