513523541322005 has 16 divisors (see below), whose sum is σ = 617540779699200. Its totient is φ = 409944144405120.

The previous prime is 513523541321983. The next prime is 513523541322019. The reversal of 513523541322005 is 500223145325315.

It is not a de Polignac number, because 513523541322005 - 2¹⁶ = 513523541256469 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8314085 + ... + 33108474.

It is an arithmetic number, because the mean of its divisors is an integer number (38596298731200).

Almost surely, 2^{513523541322005} is an apocalyptic number.

It is an amenable number.

513523541322005 is a deficient number, since it is larger than the sum of its proper divisors (104017238377195).

513523541322005 is a wasteful number, since it uses less digits than its factorization.

513523541322005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41427844.

The product of its (nonzero) digits is 540000, while the sum is 41.

The spelling of 513523541322005 in words is "five hundred thirteen trillion, five hundred twenty-three billion, five hundred forty-one million, three hundred twenty-two thousand, five".