625005523251257 has 2 divisors, whose sum is σ = 625005523251258. Its totient is φ = 625005523251256.

The previous prime is 625005523251227. The next prime is 625005523251283. The reversal of 625005523251257 is 752152325500526.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 549837733007161 + 75167790244096 = 23448619^2 + 8669936^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-625005523251257 is a prime.

It is not a weakly prime, because it can be changed into another prime (625005523251227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 312502761625628 + 312502761625629.

It is an arithmetic number, because the mean of its divisors is an integer number (312502761625629).

Almost surely, 2^{625005523251257} is an apocalyptic number.

It is an amenable number.

625005523251257 is a deficient number, since it is larger than the sum of its proper divisors (1).

625005523251257 is an equidigital number, since it uses as much as digits as its factorization.

625005523251257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300000, while the sum is 50.

The spelling of 625005523251257 in words is "six hundred twenty-five trillion, five billion, five hundred twenty-three million, two hundred fifty-one thousand, two hundred fifty-seven".