257225248801 has 4 divisors (see below), whose sum is σ = 265522837504. Its totient is φ = 248927660100.

The previous prime is 257225248799. The next prime is 257225248811. The reversal of 257225248801 is 108842522752.

257225248801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 257225248801 - 2¹ = 257225248799 is a prime.

It is a super-3 number, since 3×257225248801³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257225248811) 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 3 ways as a sum of consecutive naturals, for example, 4148794305 + ... + 4148794366.

It is an arithmetic number, because the mean of its divisors is an integer number (66380709376).

Almost surely, 2^257225248801 is an apocalyptic number.

It is an amenable number.

257225248801 is a deficient number, since it is larger than the sum of its proper divisors (8297588703).

257225248801 is an equidigital number, since it uses as much as digits as its factorization.

257225248801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8297588702.

The product of its (nonzero) digits is 716800, while the sum is 46.

The spelling of 257225248801 in words is "two hundred fifty-seven billion, two hundred twenty-five million, two hundred forty-eight thousand, eight hundred one".