251120124349 has 2 divisors, whose sum is σ = 251120124350. Its totient is φ = 251120124348.

The previous prime is 251120124347. The next prime is 251120124373. The reversal of 251120124349 is 943421021152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 230057407449 + 21062716900 = 479643^2 + 145130^2 .

It is a cyclic number.

It is not a de Polignac number, because 251120124349 - 2¹ = 251120124347 is a prime.

It is a super-2 number, since 2×251120124349² (a number of 24 digits) contains 22 as substring.

Together with 251120124347, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251120124347) 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 as a sum of consecutive naturals, namely, 125560062174 + 125560062175.

It is an arithmetic number, because the mean of its divisors is an integer number (125560062175).

Almost surely, 2^251120124349 is an apocalyptic number.

It is an amenable number.

251120124349 is a deficient number, since it is larger than the sum of its proper divisors (1).

251120124349 is an equidigital number, since it uses as much as digits as its factorization.

251120124349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 251120124349 in words is "two hundred fifty-one billion, one hundred twenty million, one hundred twenty-four thousand, three hundred forty-nine".