257252386406401 has 8 divisors (see below), whose sum is σ = 264669486059880. Its totient is φ = 249859725303168.

The previous prime is 257252386406387. The next prime is 257252386406413. The reversal of 257252386406401 is 104604683252752.

It can be written as a sum of positive squares in 4 ways, for example, as 96147143866225 + 161105242540176 = 9805465^2 + 12692724^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257252386406401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257252386406801) 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 in 7 ways as a sum of consecutive naturals, for example, 6109616206 + ... + 6109658311.

It is an arithmetic number, because the mean of its divisors is an integer number (33083685757485).

Almost surely, 2^{257252386406401} is an apocalyptic number.

It is an amenable number.

257252386406401 is a deficient number, since it is larger than the sum of its proper divisors (7417099653479).

257252386406401 is a wasteful number, since it uses less digits than its factorization.

257252386406401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12219275123.

The product of its (nonzero) digits is 19353600, while the sum is 55.

The spelling of 257252386406401 in words is "two hundred fifty-seven trillion, two hundred fifty-two billion, three hundred eighty-six million, four hundred six thousand, four hundred one".