251414322051133 has 2 divisors, whose sum is σ = 251414322051134. Its totient is φ = 251414322051132.

The previous prime is 251414322051131. The next prime is 251414322051157. The reversal of 251414322051133 is 331150223414152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208290763727524 + 43123558323609 = 14432282^2 + 6566853^2 .

It is a cyclic number.

It is not a de Polignac number, because 251414322051133 - 2¹ = 251414322051131 is a prime.

It is a super-2 number, since 2×251414322051133² (a number of 30 digits) contains 22 as substring.

Together with 251414322051131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 251414322051092 and 251414322051101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251414322051131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125707161025566 + 125707161025567.

It is an arithmetic number, because the mean of its divisors is an integer number (125707161025567).

Almost surely, 2^{251414322051133} is an apocalyptic number.

It is an amenable number.

251414322051133 is a deficient number, since it is larger than the sum of its proper divisors (1).

251414322051133 is an equidigital number, since it uses as much as digits as its factorization.

251414322051133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 251414322051133 its reverse (331150223414152), we get a palindrome (582564545465285).

The spelling of 251414322051133 in words is "two hundred fifty-one trillion, four hundred fourteen billion, three hundred twenty-two million, fifty-one thousand, one hundred thirty-three".