257540250 has 256 divisors, whose sum is σ = 776355840. Its totient is φ = 56160000.

The previous prime is 257540249. The next prime is 257540263. The reversal of 257540250 is 52045752.

257540250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4859224 + ... + 4859276.

It is an arithmetic number, because the mean of its divisors is an integer number (3032640).

Almost surely, 2^257540250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257540250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388177920).

257540250 is an abundant number, since it is smaller than the sum of its proper divisors (518815590).

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

257540250 is a wasteful number, since it uses less digits than its factorization.

257540250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 30.

The square root of 257540250 is about 16048.0606304936. The cubic root of 257540250 is about 636.2313099935.

The spelling of 257540250 in words is "two hundred fifty-seven million, five hundred forty thousand, two hundred fifty".