509120641 has 8 divisors (see below), whose sum is σ = 539416800. Its totient is φ = 478863168.

The previous prime is 509120639. The next prime is 509120671. The reversal of 509120641 is 146021905.

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 509120641 - 2¹ = 509120639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509120671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20070 + ... + 37696.

It is an arithmetic number, because the mean of its divisors is an integer number (67427100).

Almost surely, 2^509120641 is an apocalyptic number.

It is an amenable number.

509120641 is a deficient number, since it is larger than the sum of its proper divisors (30296159).

509120641 is a wasteful number, since it uses less digits than its factorization.

509120641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19343.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 509120641 is about 22563.7018461067. The cubic root of 509120641 is about 798.4975137897.

The spelling of 509120641 in words is "five hundred nine million, one hundred twenty thousand, six hundred forty-one".