1252211655137 has 2 divisors, whose sum is σ = 1252211655138. Its totient is φ = 1252211655136.

The previous prime is 1252211655073. The next prime is 1252211655151. The reversal of 1252211655137 is 7315561122521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1165587981376 + 86623673761 = 1079624^2 + 294319^2 .

It is a cyclic number.

It is not a de Polignac number, because 1252211655137 - 2⁶ = 1252211655073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1252211655094 and 1252211655103.

It is not a weakly prime, because it can be changed into another prime (1252211655157) 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, 626105827568 + 626105827569.

It is an arithmetic number, because the mean of its divisors is an integer number (626105827569).

Almost surely, 2^{1252211655137} is an apocalyptic number.

It is an amenable number.

1252211655137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1252211655137 is an equidigital number, since it uses as much as digits as its factorization.

1252211655137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126000, while the sum is 41.

Adding to 1252211655137 its reverse (7315561122521), we get a palindrome (8567772777658).

The spelling of 1252211655137 in words is "one trillion, two hundred fifty-two billion, two hundred eleven million, six hundred fifty-five thousand, one hundred thirty-seven".