712512257 has 2 divisors, whose sum is σ = 712512258. Its totient is φ = 712512256.

The previous prime is 712512253. The next prime is 712512259. The reversal of 712512257 is 752215217.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 604373056 + 108139201 = 24584^2 + 10399^2 .

It is a cyclic number.

It is not a de Polignac number, because 712512257 - 2² = 712512253 is a prime.

Together with 712512259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (712512253) 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 as a sum of consecutive naturals, namely, 356256128 + 356256129.

It is an arithmetic number, because the mean of its divisors is an integer number (356256129).

Almost surely, 2^712512257 is an apocalyptic number.

It is an amenable number.

712512257 is a deficient number, since it is larger than the sum of its proper divisors (1).

712512257 is an equidigital number, since it uses as much as digits as its factorization.

712512257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9800, while the sum is 32.

The square root of 712512257 is about 26692.9252237367. The cubic root of 712512257 is about 893.1631154329.

The spelling of 712512257 in words is "seven hundred twelve million, five hundred twelve thousand, two hundred fifty-seven".