513513254121125 has 32 divisors (see below), whose sum is σ = 678565418001120. Its totient is φ = 386643585561600.

The previous prime is 513513254121103. The next prime is 513513254121209. The reversal of 513513254121125 is 521121452315315.

It can be written as a sum of positive squares in 16 ways, for example, as 168601758886276 + 344911495234849 = 12984674^2 + 18571793^2 .

It is not a de Polignac number, because 513513254121125 - 2¹⁰ = 513513254120101 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713872139 + ... + 714591111.

It is an arithmetic number, because the mean of its divisors is an integer number (21205169312535).

Almost surely, 2^{513513254121125} is an apocalyptic number.

It is an amenable number.

513513254121125 is a deficient number, since it is larger than the sum of its proper divisors (165052163879995).

513513254121125 is a wasteful number, since it uses less digits than its factorization.

513513254121125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055114 (or 1055104 counting only the distinct ones).

The product of its digits is 180000, while the sum is 41.

The spelling of 513513254121125 in words is "five hundred thirteen trillion, five hundred thirteen billion, two hundred fifty-four million, one hundred twenty-one thousand, one hundred twenty-five".