509417493 has 16 divisors (see below), whose sum is σ = 769970880. Its totient is φ = 296987904.

The previous prime is 509417483. The next prime is 509417507. The reversal of 509417493 is 394714905.

It is not a de Polignac number, because 509417493 - 2¹⁶ = 509351957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509417423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342996 + ... + 344477.

It is an arithmetic number, because the mean of its divisors is an integer number (48123180).

Almost surely, 2^509417493 is an apocalyptic number.

It is an amenable number.

509417493 is a deficient number, since it is larger than the sum of its proper divisors (260553387).

509417493 is a wasteful number, since it uses less digits than its factorization.

509417493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687508.

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 509417493 is about 22570.2789747934. The cubic root of 509417493 is about 798.6526764437.

The spelling of 509417493 in words is "five hundred nine million, four hundred seventeen thousand, four hundred ninety-three".