257731050 has 96 divisors (see below), whose sum is σ = 689902272. Its totient is φ = 63431680.

The previous prime is 257731021. The next prime is 257731051. The reversal of 257731050 is 50137752.

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

It is a junction number, because it is equal to n+sod(n) for n = 257730999 and 257731017.

It is not an unprimeable number, because it can be changed into a prime (257731051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134197 + ... + 136103.

It is an arithmetic number, because the mean of its divisors is an integer number (7186482).

Almost surely, 2^257731050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257731050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344951136).

257731050 is an abundant number, since it is smaller than the sum of its proper divisors (432171222).

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

257731050 is a wasteful number, since it uses less digits than its factorization.

257731050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 257731050 is about 16054.0041734142. The cubic root of 257731050 is about 636.3883896061.

The spelling of 257731050 in words is "two hundred fifty-seven million, seven hundred thirty-one thousand, fifty".