257428901 has 8 divisors (see below), whose sum is σ = 260304408. Its totient is φ = 254560000.

The previous prime is 257428883. The next prime is 257428907. The reversal of 257428901 is 109824752.

257428901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 125776225 + 131652676 = 11215^2 + 11474^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 257428901 - 2⁶ = 257428837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257428907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148721 + ... + 150441.

It is an arithmetic number, because the mean of its divisors is an integer number (32538051).

Almost surely, 2^257428901 is an apocalyptic number.

It is an amenable number.

257428901 is a deficient number, since it is larger than the sum of its proper divisors (2875507).

257428901 is a wasteful number, since it uses less digits than its factorization.

257428901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303.

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 257428901 is about 16044.5910200291. The cubic root of 257428901 is about 636.1396040272.

It can be divided in two parts, 25742 and 8901, that added together give a palindrome (34643).

The spelling of 257428901 in words is "two hundred fifty-seven million, four hundred twenty-eight thousand, nine hundred one".