1251931204481 has 2 divisors, whose sum is σ = 1251931204482. Its totient is φ = 1251931204480.

The previous prime is 1251931204397. The next prime is 1251931204541. The reversal of 1251931204481 is 1844021391521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1228517308225 + 23413896256 = 1108385^2 + 153016^2 .

It is a cyclic number.

It is not a de Polignac number, because 1251931204481 - 2³⁴ = 1234751335297 is a prime.

It is a super-2 number, since 2×1251931204481² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1251931201481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 625965602240 + 625965602241.

It is an arithmetic number, because the mean of its divisors is an integer number (625965602241).

Almost surely, 2^{1251931204481} is an apocalyptic number.

It is an amenable number.

1251931204481 is a deficient number, since it is larger than the sum of its proper divisors (1).

1251931204481 is an equidigital number, since it uses as much as digits as its factorization.

1251931204481 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 1251931204481 in words is "one trillion, two hundred fifty-one billion, nine hundred thirty-one million, two hundred four thousand, four hundred eighty-one".