513514200325440 has 112 divisors (see below), whose sum is σ = 1632023453914560. Its totient is φ = 136801404149760.

The previous prime is 513514200325439. The next prime is 513514200325459. The reversal of 513514200325440 is 44523002415315.

It is a super-2 number, since 2×513514200325440² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264101046 + ... + 266038325.

It is an arithmetic number, because the mean of its divisors is an integer number (14571637981380).

Almost surely, 2^{513514200325440} is an apocalyptic number.

It is an amenable number.

513514200325440 is an abundant number, since it is smaller than the sum of its proper divisors (1118509253589120).

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

513514200325440 is a wasteful number, since it uses less digits than its factorization.

513514200325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530140400 (or 530140390 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 513514200325440 in words is "five hundred thirteen trillion, five hundred fourteen billion, two hundred million, three hundred twenty-five thousand, four hundred forty".