1257361807837 has 2 divisors, whose sum is σ = 1257361807838. Its totient is φ = 1257361807836.

The previous prime is 1257361807771. The next prime is 1257361807873. The reversal of 1257361807837 is 7387081637521.

Together with next prime (1257361807873) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1244085928996 + 13275878841 = 1115386^2 + 115221^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1257361807837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1257361807337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 628680903918 + 628680903919.

It is an arithmetic number, because the mean of its divisors is an integer number (628680903919).

Almost surely, 2^{1257361807837} is an apocalyptic number.

It is an amenable number.

1257361807837 is a deficient number, since it is larger than the sum of its proper divisors (1).

1257361807837 is an equidigital number, since it uses as much as digits as its factorization.

1257361807837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11854080, while the sum is 58.

The spelling of 1257361807837 in words is "one trillion, two hundred fifty-seven billion, three hundred sixty-one million, eight hundred seven thousand, eight hundred thirty-seven".