513153241613417 has 2 divisors, whose sum is σ = 513153241613418. Its totient is φ = 513153241613416.

The previous prime is 513153241613399. The next prime is 513153241613429. The reversal of 513153241613417 is 714316142351315.

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., 423771703232656 + 89381538380761 = 20585716^2 + 9454181^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513153241613417 is a prime.

It is not a weakly prime, because it can be changed into another prime (513153241613017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256576620806708 + 256576620806709.

It is an arithmetic number, because the mean of its divisors is an integer number (256576620806709).

Almost surely, 2^{513153241613417} is an apocalyptic number.

It is an amenable number.

513153241613417 is a deficient number, since it is larger than the sum of its proper divisors (1).

513153241613417 is an equidigital number, since it uses as much as digits as its factorization.

513153241613417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 907200, while the sum is 47.

The spelling of 513153241613417 in words is "five hundred thirteen trillion, one hundred fifty-three billion, two hundred forty-one million, six hundred thirteen thousand, four hundred seventeen".