257522427201 has 32 divisors (see below), whose sum is σ = 383155863552. Its totient is φ = 152779913280.

The previous prime is 257522427181. The next prime is 257522427223. The reversal of 257522427201 is 102724225752.

257522427201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257522427201 - 2⁷ = 257522427073 is a prime.

It is a super-2 number, since 2×257522427201² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 257522427201.

It is not an unprimeable number, because it can be changed into a prime (257522420201) 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 31 ways as a sum of consecutive naturals, for example, 86985 + ... + 722918.

It is an arithmetic number, because the mean of its divisors is an integer number (11973620736).

Almost surely, 2^257522427201 is an apocalyptic number.

It is an amenable number.

257522427201 is a deficient number, since it is larger than the sum of its proper divisors (125633436351).

257522427201 is a wasteful number, since it uses less digits than its factorization.

257522427201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810213.

The product of its (nonzero) digits is 156800, while the sum is 39.

The spelling of 257522427201 in words is "two hundred fifty-seven billion, five hundred twenty-two million, four hundred twenty-seven thousand, two hundred one".