513214215220341 has 6 divisors (see below), whose sum is σ = 741309421984950. Its totient is φ = 342142810146888.

The previous prime is 513214215220313. The next prime is 513214215220391. The reversal of 513214215220341 is 143022512412315.

513214215220341 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 1 + 421 + 5 + 220 + 3 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 335201355335025 + 178012859885316 = 18308505^2 + 13342146^2 .

It is not a de Polignac number, because 513214215220341 - 2¹⁴ = 513214215203957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513214215220296 and 513214215220305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513214215220391) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28511900845566 + ... + 28511900845583.

It is an arithmetic number, because the mean of its divisors is an integer number (123551570330825).

Almost surely, 2^{513214215220341} is an apocalyptic number.

It is an amenable number.

513214215220341 is a deficient number, since it is larger than the sum of its proper divisors (228095206764609).

513214215220341 is a wasteful number, since it uses less digits than its factorization.

513214215220341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57023801691155 (or 57023801691152 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 513214215220341 its reverse (143022512412315), we get a palindrome (656236727632656).

The spelling of 513214215220341 in words is "five hundred thirteen trillion, two hundred fourteen billion, two hundred fifteen million, two hundred twenty thousand, three hundred forty-one".