251133042004 has 24 divisors (see below), whose sum is σ = 474481397768. Its totient is φ = 115615589760.

The previous prime is 251133041947. The next prime is 251133042007. The reversal of 251133042004 is 400240331152.

251133042004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8537390404 + 242595651600 = 92398^2 + 492540^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 251133042004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251133042007) 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 7 ways as a sum of consecutive naturals, for example, 6061827 + ... + 6103114.

Almost surely, 2^251133042004 is an apocalyptic number.

It is an amenable number.

251133042004 is a deficient number, since it is larger than the sum of its proper divisors (223348355764).

251133042004 is a wasteful number, since it uses less digits than its factorization.

251133042004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12165355 (or 12165353 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 251133042004 its reverse (400240331152), we get a palindrome (651373373156).

The spelling of 251133042004 in words is "two hundred fifty-one billion, one hundred thirty-three million, forty-two thousand, four".