1257825678401 has 2 divisors, whose sum is σ = 1257825678402. Its totient is φ = 1257825678400.

The previous prime is 1257825678349. The next prime is 1257825678469. The reversal of 1257825678401 is 1048765287521.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 819475752001 + 438349926400 = 905249^2 + 662080^2 .

It is a cyclic number.

It is not a de Polignac number, because 1257825678401 - 2²⁶ = 1257758569537 is a prime.

It is not a weakly prime, because it can be changed into another prime (1257825678301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 628912839200 + 628912839201.

It is an arithmetic number, because the mean of its divisors is an integer number (628912839201).

Almost surely, 2^{1257825678401} is an apocalyptic number.

It is an amenable number.

1257825678401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1257825678401 is an equidigital number, since it uses as much as digits as its factorization.

1257825678401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7526400, while the sum is 56.

The spelling of 1257825678401 in words is "one trillion, two hundred fifty-seven billion, eight hundred twenty-five million, six hundred seventy-eight thousand, four hundred one".