513513152441 has 2 divisors, whose sum is σ = 513513152442. Its totient is φ = 513513152440.

The previous prime is 513513152429. The next prime is 513513152447. The reversal of 513513152441 is 144251315315.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 267259014841 + 246254137600 = 516971^2 + 496240^2 .

It is a cyclic number.

It is not a de Polignac number, because 513513152441 - 2¹⁴ = 513513136057 is a prime.

It is not a weakly prime, because it can be changed into another prime (513513152447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256756576220 + 256756576221.

It is an arithmetic number, because the mean of its divisors is an integer number (256756576221).

Almost surely, 2^513513152441 is an apocalyptic number.

It is an amenable number.

513513152441 is a deficient number, since it is larger than the sum of its proper divisors (1).

513513152441 is an equidigital number, since it uses as much as digits as its factorization.

513513152441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36000, while the sum is 35.

Adding to 513513152441 its reverse (144251315315), we get a palindrome (657764467756).

The spelling of 513513152441 in words is "five hundred thirteen billion, five hundred thirteen million, one hundred fifty-two thousand, four hundred forty-one".