512728093 has 2 divisors, whose sum is σ = 512728094. Its totient is φ = 512728092.

The previous prime is 512728081. The next prime is 512728103. The reversal of 512728093 is 390827215.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 498986244 + 13741849 = 22338^2 + 3707^2 .

It is a cyclic number.

It is not a de Polignac number, because 512728093 - 2⁵ = 512728061 is a prime.

It is the 22644-th Hogben number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (512728193) by changing a digit.

It is a nontrivial repunit in base 22643.

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 as a sum of consecutive naturals, namely, 256364046 + 256364047.

It is an arithmetic number, because the mean of its divisors is an integer number (256364047).

Almost surely, 2^512728093 is an apocalyptic number.

It is an amenable number.

512728093 is a deficient number, since it is larger than the sum of its proper divisors (1).

512728093 is an equidigital number, since it uses as much as digits as its factorization.

512728093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 512728093 is about 22643.5000165610. The cubic root of 512728093 is about 800.3790354909.

The spelling of 512728093 in words is "five hundred twelve million, seven hundred twenty-eight thousand, ninety-three".