251373042 has 54 divisors (see below), whose sum is σ = 565356519. Its totient is φ = 80719200.

The previous prime is 251373041. The next prime is 251373047. The reversal of 251373042 is 240373152.

251373042 is a `hidden beast` number, since 251 + 373 + 0 + 42 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 235284921 + 16088121 = 15339^2 + 4011^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11211.

It is a junction number, because it is equal to n+sod(n) for n = 251372997 and 251373015.

It is not an unprimeable number, because it can be changed into a prime (251373041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2488792 + ... + 2488892.

Almost surely, 2^251373042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251373042

251373042 is an abundant number, since it is smaller than the sum of its proper divisors (313983477).

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

251373042 is a wasteful number, since it uses less digits than its factorization.

251373042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 251373042 is about 15854.7482477648. The cubic root of 251373042 is about 631.1117030369. Note that the first 3 decimals are identical.

The spelling of 251373042 in words is "two hundred fifty-one million, three hundred seventy-three thousand, forty-two".