513225504165 has 64 divisors (see below), whose sum is σ = 935551918080. Its totient is φ = 237816015360.

The previous prime is 513225504139. The next prime is 513225504167. The reversal of 513225504165 is 561405522315.

It is not a de Polignac number, because 513225504165 - 2⁸ = 513225503909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513225504167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4470756 + ... + 4584114.

It is an arithmetic number, because the mean of its divisors is an integer number (14617998720).

Almost surely, 2^513225504165 is an apocalyptic number.

513225504165 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513225504165 is a deficient number, since it is larger than the sum of its proper divisors (422326413915).

513225504165 is a wasteful number, since it uses less digits than its factorization.

513225504165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114594.

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 513225504165 in words is "five hundred thirteen billion, two hundred twenty-five million, five hundred four thousand, one hundred sixty-five".