513015232753744 has 320 divisors, whose sum is σ = 1221580420992000. Its totient is φ = 203917035700224.

The previous prime is 513015232753717. The next prime is 513015232753757. The reversal of 513015232753744 is 447357232510315.

It is a junction number, because it is equal to n+sod(n) for n = 513015232753691 and 513015232753700.

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 63 ways as a sum of consecutive naturals, for example, 37531285342 + ... + 37531299010.

It is an arithmetic number, because the mean of its divisors is an integer number (3817438815600).

Almost surely, 2^{513015232753744} 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 513015232753744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610790210496000).

513015232753744 is an abundant number, since it is smaller than the sum of its proper divisors (708565188238256).

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

513015232753744 is a wasteful number, since it uses less digits than its factorization.

513015232753744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15070 (or 15064 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 52.

The spelling of 513015232753744 in words is "five hundred thirteen trillion, fifteen billion, two hundred thirty-two million, seven hundred fifty-three thousand, seven hundred forty-four".