513201505240205 has 16 divisors (see below), whose sum is σ = 619034503352304. Its totient is φ = 408432751902720.

The previous prime is 513201505240189. The next prime is 513201505240223. The reversal of 513201505240205 is 502042505102315.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34745990852329 + 478455514387876 = 5894573^2 + 21873626^2 .

It is not a de Polignac number, because 513201505240205 - 2⁴ = 513201505240189 is a prime.

It is a super-3 number, since 3×513201505240205³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492070085 + ... + 493111925.

It is an arithmetic number, because the mean of its divisors is an integer number (38689656459519).

Almost surely, 2^{513201505240205} is an apocalyptic number.

It is an amenable number.

513201505240205 is a deficient number, since it is larger than the sum of its proper divisors (105832998112099).

513201505240205 is a wasteful number, since it uses less digits than its factorization.

513201505240205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552496.

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 513201505240205 in words is "five hundred thirteen trillion, two hundred one billion, five hundred five million, two hundred forty thousand, two hundred five".