257829252 has 12 divisors (see below), whose sum is σ = 601601616. Its totient is φ = 85943080.

The previous prime is 257829223. The next prime is 257829269. The reversal of 257829252 is 252928752.

257829252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10742874 + ... + 10742897.

It is an arithmetic number, because the mean of its divisors is an integer number (50133468).

Almost surely, 2^257829252 is an apocalyptic number.

It is an amenable number.

257829252 is an abundant number, since it is smaller than the sum of its proper divisors (343772364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257829252 is a wasteful number, since it uses less digits than its factorization.

257829252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21485778 (or 21485776 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 257829252 is about 16057.0623714302. The cubic root of 257829252 is about 636.4692059933.

Adding to 257829252 its product of digits (201600), we get a palindrome (258030852).

The spelling of 257829252 in words is "two hundred fifty-seven million, eight hundred twenty-nine thousand, two hundred fifty-two".