257120550 has 72 divisors (see below), whose sum is σ = 705553056. Its totient is φ = 67101120.

The previous prime is 257120531. The next prime is 257120557. The reversal of 257120550 is 55021752.

It is a happy number.

257120550 is a `hidden beast` number, since 25 + 71 + 20 + 550 = 666.

It is a super-2 number, since 2×257120550² = 132221954464605000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257120557) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15072 + ... + 27228.

It is an arithmetic number, because the mean of its divisors is an integer number (9799348).

Almost surely, 2^257120550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257120550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352776528).

257120550 is an abundant number, since it is smaller than the sum of its proper divisors (448432506).

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

257120550 is a wasteful number, since it uses less digits than its factorization.

257120550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12222 (or 12214 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 257120550 is about 16034.9789522780. The cubic root of 257120550 is about 635.8855110161.

The spelling of 257120550 in words is "two hundred fifty-seven million, one hundred twenty thousand, five hundred fifty".