513002144532051 has 32 divisors (see below), whose sum is σ = 778561943611200. Its totient is φ = 333650458402560.

The previous prime is 513002144531999. The next prime is 513002144532107. The reversal of 513002144532051 is 150235441200315.

513002144532051 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 0 + 2 + 1 + 445 + 3 + 205 + 1 = 666.

It is not a de Polignac number, because 513002144532051 - 2¹⁴ = 513002144515667 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513002144531997 and 513002144532015.

It is not an unprimeable number, because it can be changed into a prime (513002164532051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32535105 + ... + 45656733.

It is an arithmetic number, because the mean of its divisors is an integer number (24330060737850).

Almost surely, 2^{513002144532051} is an apocalyptic number.

513002144532051 is a deficient number, since it is larger than the sum of its proper divisors (265559799079149).

513002144532051 is a wasteful number, since it uses less digits than its factorization.

513002144532051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13156996 (or 13156990 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 513002144532051 its reverse (150235441200315), we get a palindrome (663237585732366).

The spelling of 513002144532051 in words is "five hundred thirteen trillion, two billion, one hundred forty-four million, five hundred thirty-two thousand, fifty-one".