251433221401601 has 32 divisors (see below), whose sum is σ = 266431286016000. Its totient is φ = 236890580774400.

The previous prime is 251433221401597. The next prime is 251433221401727. The reversal of 251433221401601 is 106104122334152.

It is a cyclic number.

It is not a de Polignac number, because 251433221401601 - 2² = 251433221401597 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (251433221401301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9060969275 + ... + 9060997023.

It is an arithmetic number, because the mean of its divisors is an integer number (8325977688000).

Almost surely, 2^{251433221401601} is an apocalyptic number.

It is an amenable number.

251433221401601 is a deficient number, since it is larger than the sum of its proper divisors (14998064614399).

251433221401601 is a wasteful number, since it uses less digits than its factorization.

251433221401601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42497.

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 251433221401601 its reverse (106104122334152), we get a palindrome (357537343735753).

The spelling of 251433221401601 in words is "two hundred fifty-one trillion, four hundred thirty-three billion, two hundred twenty-one million, four hundred one thousand, six hundred one".