712509257 has 2 divisors, whose sum is σ = 712509258. Its totient is φ = 712509256.

The previous prime is 712509251. The next prime is 712509277. The reversal of 712509257 is 752905217.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 660438601 + 52070656 = 25699^2 + 7216^2 .

It is an emirp because it is prime and its reverse (752905217) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 712509257 - 2²⁸ = 444073801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 712509257.

It is not a weakly prime, because it can be changed into another prime (712509251) 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 as a sum of consecutive naturals, namely, 356254628 + 356254629.

It is an arithmetic number, because the mean of its divisors is an integer number (356254629).

Almost surely, 2^712509257 is an apocalyptic number.

It is an amenable number.

712509257 is a deficient number, since it is larger than the sum of its proper divisors (1).

712509257 is an equidigital number, since it uses as much as digits as its factorization.

712509257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44100, while the sum is 38.

The square root of 712509257 is about 26692.8690290122. The cubic root of 712509257 is about 893.1618618904.

The spelling of 712509257 in words is "seven hundred twelve million, five hundred nine thousand, two hundred fifty-seven".