1251551137289 has 2 divisors, whose sum is σ = 1251551137290. Its totient is φ = 1251551137288.

The previous prime is 1251551137283. The next prime is 1251551137313. The reversal of 1251551137289 is 9827311551521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 629377248889 + 622173888400 = 793333^2 + 788780^2 .

It is an emirp because it is prime and its reverse (9827311551521) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1251551137289 is a prime.

It is not a weakly prime, because it can be changed into another prime (1251551137283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 625775568644 + 625775568645.

It is an arithmetic number, because the mean of its divisors is an integer number (625775568645).

Almost surely, 2^{1251551137289} is an apocalyptic number.

It is an amenable number.

1251551137289 is a deficient number, since it is larger than the sum of its proper divisors (1).

1251551137289 is an equidigital number, since it uses as much as digits as its factorization.

1251551137289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756000, while the sum is 50.

The spelling of 1251551137289 in words is "one trillion, two hundred fifty-one billion, five hundred fifty-one million, one hundred thirty-seven thousand, two hundred eighty-nine".