509460101 has 2 divisors, whose sum is σ = 509460102. Its totient is φ = 509460100.

The previous prime is 509460073. The next prime is 509460109. The reversal of 509460101 is 101064905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 449397601 + 60062500 = 21199^2 + 7750^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-509460101 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509460109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254730050 + 254730051.

It is an arithmetic number, because the mean of its divisors is an integer number (254730051).

Almost surely, 2^509460101 is an apocalyptic number.

It is an amenable number.

509460101 is a deficient number, since it is larger than the sum of its proper divisors (1).

509460101 is an equidigital number, since it uses as much as digits as its factorization.

509460101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 509460101 is about 22571.2228512325. Note that the first 3 decimals coincide. The cubic root of 509460101 is about 798.6749424273.

The spelling of 509460101 in words is "five hundred nine million, four hundred sixty thousand, one hundred one".