509762461 has 8 divisors (see below), whose sum is σ = 549275384. Its totient is φ = 470292480.

The previous prime is 509762443. The next prime is 509762479. The reversal of 509762461 is 164267905.

It is an interprime number because it is at equal distance from previous prime (509762443) and next prime (509762479).

It can be written as a sum of positive squares in 4 ways, for example, as 30415225 + 479347236 = 5515^2 + 21894^2 .

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 509762461 - 2⁷ = 509762333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509762401) 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 7 ways as a sum of consecutive naturals, for example, 16501 + ... + 35941.

It is an arithmetic number, because the mean of its divisors is an integer number (68659423).

Almost surely, 2^509762461 is an apocalyptic number.

It is an amenable number.

509762461 is a deficient number, since it is larger than the sum of its proper divisors (39512923).

509762461 is a wasteful number, since it uses less digits than its factorization.

509762461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21471.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 509762461 is about 22577.9197668873. The cubic root of 509762461 is about 798.8329133180.

The spelling of 509762461 in words is "five hundred nine million, seven hundred sixty-two thousand, four hundred sixty-one".