509352541 has 2 divisors, whose sum is σ = 509352542. Its totient is φ = 509352540.

The previous prime is 509352539. The next prime is 509352577. The reversal of 509352541 is 145253905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 449228025 + 60124516 = 21195^2 + 7754^2 .

It is a cyclic number.

It is not a de Polignac number, because 509352541 - 2¹ = 509352539 is a prime.

It is a super-2 number, since 2×509352541² = 518880022046313362, which contains 22 as substring.

Together with 509352539, it forms a pair of twin primes.

It is equal to p_26822077 and since 509352541 and 26822077 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 509352497 and 509352506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509352511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254676270 + 254676271.

It is an arithmetic number, because the mean of its divisors is an integer number (254676271).

Almost surely, 2^509352541 is an apocalyptic number.

It is an amenable number.

509352541 is a deficient number, since it is larger than the sum of its proper divisors (1).

509352541 is an equidigital number, since it uses as much as digits as its factorization.

509352541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 509352541 is about 22568.8400455141. The cubic root of 509352541 is about 798.6187315987.

The spelling of 509352541 in words is "five hundred nine million, three hundred fifty-two thousand, five hundred forty-one".