513321002415441 has 12 divisors (see below), whose sum is σ = 808869458351760. Its totient is φ = 311103637827480.

The previous prime is 513321002415421. The next prime is 513321002415443. The reversal of 513321002415441 is 144514200123315.

513321002415441 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 2 + 100 + 2 + 4 + 1 + 544 + 1 = 666.

It is not a de Polignac number, because 513321002415441 - 2¹⁹ = 513321001891153 is a prime.

It is a super-3 number, since 3×513321002415441³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513321002415396 and 513321002415405.

It is not an unprimeable number, because it can be changed into a prime (513321002415443) by changing a digit.

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, 2592530315131 + ... + 2592530315328.

It is an arithmetic number, because the mean of its divisors is an integer number (67405788195980).

Almost surely, 2^{513321002415441} is an apocalyptic number.

It is an amenable number.

513321002415441 is a deficient number, since it is larger than the sum of its proper divisors (295548455936319).

513321002415441 is a wasteful number, since it uses less digits than its factorization.

513321002415441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185060630476 (or 5185060630473 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 513321002415441 its reverse (144514200123315), we get a palindrome (657835202538756).

The spelling of 513321002415441 in words is "five hundred thirteen trillion, three hundred twenty-one billion, two million, four hundred fifteen thousand, four hundred forty-one".