513413001444 has 192 divisors, whose sum is σ = 1456422912000. Its totient is φ = 140548464000.

The previous prime is 513413001443. The next prime is 513413001539. The reversal of 513413001444 is 444100314315.

It is not an unprimeable number, because it can be changed into a prime (513413001443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12867277 + ... + 12907115.

It is an arithmetic number, because the mean of its divisors is an integer number (7585536000).

Almost surely, 2^513413001444 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 513413001444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728211456000).

513413001444 is an abundant number, since it is smaller than the sum of its proper divisors (943009910556).

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

513413001444 is a wasteful number, since it uses less digits than its factorization.

513413001444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39999 (or 39983 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 513413001444 its reverse (444100314315), we get a palindrome (957513315759).

The spelling of 513413001444 in words is "five hundred thirteen billion, four hundred thirteen million, one thousand, four hundred forty-four".