513324451340001 has 48 divisors (see below), whose sum is σ = 884243030261760. Its totient is φ = 280572595411680.

The previous prime is 513324451339991. The next prime is 513324451340017. The reversal of 513324451340001 is 100043154423315.

513324451340001 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 244 + 5 + 1 + 3 + 400 + 0 + 1 = 666.

It is not a de Polignac number, because 513324451340001 - 2²⁶ = 513324384231137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513324451380001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187122756 + ... + 189846186.

It is an arithmetic number, because the mean of its divisors is an integer number (18421729797120).

Almost surely, 2^{513324451340001} is an apocalyptic number.

It is an amenable number.

513324451340001 is a deficient number, since it is larger than the sum of its proper divisors (370918578921759).

513324451340001 is a wasteful number, since it uses less digits than its factorization.

513324451340001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853546 (or 2853543 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 513324451340001 in words is "five hundred thirteen trillion, three hundred twenty-four billion, four hundred fifty-one million, three hundred forty thousand, one".