513041244210401 has 4 divisors (see below), whose sum is σ = 513043702443204. Its totient is φ = 513038785977600.

The previous prime is 513041244210379. The next prime is 513041244210433. The reversal of 513041244210401 is 104012442140315.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 50861073573025 + 462180170637376 = 7131695^2 + 21498376^2 .

It is a cyclic number.

It is not a de Polignac number, because 513041244210401 - 2¹⁸ = 513041243948257 is a prime.

It is a super-3 number, since 3×513041244210401³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513041244210101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1228803320 + ... + 1229220761.

It is an arithmetic number, because the mean of its divisors is an integer number (128260925610801).

Almost surely, 2^{513041244210401} is an apocalyptic number.

It is an amenable number.

513041244210401 is a deficient number, since it is larger than the sum of its proper divisors (2458232803).

513041244210401 is a wasteful number, since it uses less digits than its factorization.

513041244210401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458232802.

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 513041244210401 its reverse (104012442140315), we get a palindrome (617053686350716).

The spelling of 513041244210401 in words is "five hundred thirteen trillion, forty-one billion, two hundred forty-four million, two hundred ten thousand, four hundred one".