513511245252241 has 2 divisors, whose sum is σ = 513511245252242. Its totient is φ = 513511245252240.

The previous prime is 513511245252211. The next prime is 513511245252353. The reversal of 513511245252241 is 142252542115315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 493358328612241 + 20152916640000 = 22211671^2 + 4489200^2 .

It is a cyclic number.

It is not a de Polignac number, because 513511245252241 - 2¹⁹ = 513511244727953 is a prime.

It is not a weakly prime, because it can be changed into another prime (513511245252211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256755622626120 + 256755622626121.

It is an arithmetic number, because the mean of its divisors is an integer number (256755622626121).

Almost surely, 2^{513511245252241} is an apocalyptic number.

It is an amenable number.

513511245252241 is a deficient number, since it is larger than the sum of its proper divisors (1).

513511245252241 is an equidigital number, since it uses as much as digits as its factorization.

513511245252241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 480000, while the sum is 43.

Adding to 513511245252241 its reverse (142252542115315), we get a palindrome (655763787367556).

The spelling of 513511245252241 in words is "five hundred thirteen trillion, five hundred eleven billion, two hundred forty-five million, two hundred fifty-two thousand, two hundred forty-one".