509458563345 has 32 divisors (see below), whose sum is σ = 866291345280. Its totient is φ = 254777523200.

The previous prime is 509458563307. The next prime is 509458563349. The reversal of 509458563345 is 543365854905.

It is a happy number.

It is not a de Polignac number, because 509458563345 - 2²¹ = 509456466193 is a prime.

It is a super-3 number, since 3×509458563345³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (509458563349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3644931 + ... + 3782120.

It is an arithmetic number, because the mean of its divisors is an integer number (27071604540).

Almost surely, 2^509458563345 is an apocalyptic number.

It is an amenable number.

509458563345 is a deficient number, since it is larger than the sum of its proper divisors (356832781935).

509458563345 is a wasteful number, since it uses less digits than its factorization.

509458563345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7427345.

The product of its (nonzero) digits is 38880000, while the sum is 57.

The spelling of 509458563345 in words is "five hundred nine billion, four hundred fifty-eight million, five hundred sixty-three thousand, three hundred forty-five".