509744692961 has 8 divisors (see below), whose sum is σ = 582589648704. Its totient is φ = 436905808560.

The previous prime is 509744692957. The next prime is 509744692967. The reversal of 509744692961 is 169296447905.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 509744692961 - 2² = 509744692957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 509744692894 and 509744692903.

It is not an unprimeable number, because it can be changed into a prime (509744692967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1336475 + ... + 1675008.

It is an arithmetic number, because the mean of its divisors is an integer number (72823706088).

Almost surely, 2^509744692961 is an apocalyptic number.

It is an amenable number.

509744692961 is a deficient number, since it is larger than the sum of its proper divisors (72844955743).

509744692961 is a wasteful number, since it uses less digits than its factorization.

509744692961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035671.

The product of its (nonzero) digits is 29393280, while the sum is 62.

The spelling of 509744692961 in words is "five hundred nine billion, seven hundred forty-four million, six hundred ninety-two thousand, nine hundred sixty-one".