509687318481 has 16 divisors (see below), whose sum is σ = 748292007168. Its totient is φ = 306014474000.

The previous prime is 509687318449. The next prime is 509687318489. The reversal of 509687318481 is 184813786905.

It is a cyclic number.

It is not a de Polignac number, because 509687318481 - 2⁵ = 509687318449 is a prime.

It is a super-2 number, since 2×509687318481² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (509687318489) 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, 72169695 + ... + 72176756.

It is an arithmetic number, because the mean of its divisors is an integer number (46768250448).

Almost surely, 2^509687318481 is an apocalyptic number.

It is an amenable number.

509687318481 is a deficient number, since it is larger than the sum of its proper divisors (238604688687).

509687318481 is a wasteful number, since it uses less digits than its factorization.

509687318481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144346572.

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 509687318481 in words is "five hundred nine billion, six hundred eighty-seven million, three hundred eighteen thousand, four hundred eighty-one".