513145204305 has 16 divisors (see below), whose sum is σ = 821654824320. Its totient is φ = 273469943168.

The previous prime is 513145204223. The next prime is 513145204309. The reversal of 513145204305 is 503402541315.

It is a cyclic number.

It is not a de Polignac number, because 513145204305 - 2⁹ = 513145203793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513145204309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12948252 + ... + 12987821.

It is an arithmetic number, because the mean of its divisors is an integer number (51353426520).

Almost surely, 2^513145204305 is an apocalyptic number.

It is an amenable number.

513145204305 is a deficient number, since it is larger than the sum of its proper divisors (308509620015).

513145204305 is a wasteful number, since it uses less digits than its factorization.

513145204305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25937400.

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 513145204305 in words is "five hundred thirteen billion, one hundred forty-five million, two hundred four thousand, three hundred five".