509954101 has 2 divisors, whose sum is σ = 509954102. Its totient is φ = 509954100.

The previous prime is 509954099. The next prime is 509954111. The reversal of 509954101 is 101459905.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 320231025 + 189723076 = 17895^2 + 13774^2 .

It is a cyclic number.

It is not a de Polignac number, because 509954101 - 2¹ = 509954099 is a prime.

Together with 509954099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509954111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254977050 + 254977051.

It is an arithmetic number, because the mean of its divisors is an integer number (254977051).

Almost surely, 2^509954101 is an apocalyptic number.

It is an amenable number.

509954101 is a deficient number, since it is larger than the sum of its proper divisors (1).

509954101 is an equidigital number, since it uses as much as digits as its factorization.

509954101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8100, while the sum is 34.

The square root of 509954101 is about 22582.1633374661. The cubic root of 509954101 is about 798.9330051393.

The spelling of 509954101 in words is "five hundred nine million, nine hundred fifty-four thousand, one hundred one".