517742101 has 2 divisors, whose sum is σ = 517742102. Its totient is φ = 517742100.

The previous prime is 517742047. The next prime is 517742111. The reversal of 517742101 is 101247715.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 374461201 + 143280900 = 19351^2 + 11970^2 .

It is a cyclic number.

It is not a de Polignac number, because 517742101 - 2¹¹ = 517740053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 517742101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (517742111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258871050 + 258871051.

It is an arithmetic number, because the mean of its divisors is an integer number (258871051).

Almost surely, 2^517742101 is an apocalyptic number.

It is an amenable number.

517742101 is a deficient number, since it is larger than the sum of its proper divisors (1).

517742101 is an equidigital number, since it uses as much as digits as its factorization.

517742101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 517742101 is about 22753.9469323456. The cubic root of 517742101 is about 802.9795665560.

Adding to 517742101 its reverse (101247715), we get a palindrome (618989816).

It can be divided in two parts, 5177 and 42101, that added together give a triangular number (47278 = T₃₀₇).

The spelling of 517742101 in words is "five hundred seventeen million, seven hundred forty-two thousand, one hundred one".