509741 has 2 divisors, whose sum is σ = 509742. Its totient is φ = 509740.

The previous prime is 509737. The next prime is 509767. The reversal of 509741 is 147905.

It is an a-pointer prime, because the next prime (509767) can be obtained adding 509741 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 372100 + 137641 = 610^2 + 371^2 .

It is a cyclic number.

It is not a de Polignac number, because 509741 - 2² = 509737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 509741.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254870 + 254871.

It is an arithmetic number, because the mean of its divisors is an integer number (254871).

2⁵⁰⁹⁷⁴¹ is an apocalyptic number.

It is an amenable number.

509741 is a deficient number, since it is larger than the sum of its proper divisors (1).

509741 is an equidigital number, since it uses as much as digits as its factorization.

509741 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 509741 is about 713.9614835550. The cubic root of 509741 is about 79.8821702872.

The spelling of 509741 in words is "five hundred nine thousand, seven hundred forty-one".