509552641 has 16 divisors (see below), whose sum is σ = 564677568. Its totient is φ = 456753600.

The previous prime is 509552627. The next prime is 509552657. The reversal of 509552641 is 146255905.

It is the 9216-th star number.

It is a cyclic number.

It is not a de Polignac number, because 509552641 - 2⁵ = 509552609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 509552641.

It is not an unprimeable number, because it can be changed into a prime (509552941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466506 + ... + 467596.

It is an arithmetic number, because the mean of its divisors is an integer number (35292348).

Almost surely, 2^509552641 is an apocalyptic number.

It is an amenable number.

509552641 is a deficient number, since it is larger than the sum of its proper divisors (55124927).

509552641 is a wasteful number, since it uses less digits than its factorization.

509552641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112.

The product of its (nonzero) digits is 54000, while the sum is 37.

The square root of 509552641 is about 22573.2727135433. The cubic root of 509552641 is about 798.7232974763.

The spelling of 509552641 in words is "five hundred nine million, five hundred fifty-two thousand, six hundred forty-one".