257270225641 has 16 divisors (see below), whose sum is σ = 307370387520. Its totient is φ = 212231920320.

The previous prime is 257270225603. The next prime is 257270225651. The reversal of 257270225641 is 146522072752.

257270225641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 257270225641 - 2⁹ = 257270225129 is a prime.

It is a super-3 number, since 3×257270225641³ (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 (257270225651) 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 15 ways as a sum of consecutive naturals, for example, 15238110 + ... + 15254983.

It is an arithmetic number, because the mean of its divisors is an integer number (19210649220).

Almost surely, 2^257270225641 is an apocalyptic number.

It is an amenable number.

257270225641 is a deficient number, since it is larger than the sum of its proper divisors (50100161879).

257270225641 is a wasteful number, since it uses less digits than its factorization.

257270225641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30493176.

The product of its (nonzero) digits is 470400, while the sum is 43.

The spelling of 257270225641 in words is "two hundred fifty-seven billion, two hundred seventy million, two hundred twenty-five thousand, six hundred forty-one".