1362807137201 has 2 divisors, whose sum is σ = 1362807137202. Its totient is φ = 1362807137200.

The previous prime is 1362807137177. The next prime is 1362807137203. The reversal of 1362807137201 is 1027317082631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1346530480801 + 16276656400 = 1160401^2 + 127580^2 .

It is a cyclic number.

It is not a de Polignac number, because 1362807137201 - 2¹⁰ = 1362807136177 is a prime.

It is a super-2 number, since 2×1362807137201² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 1362807137203, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1362807137203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 681403568600 + 681403568601.

It is an arithmetic number, because the mean of its divisors is an integer number (681403568601).

Almost surely, 2^{1362807137201} is an apocalyptic number.

It is an amenable number.

1362807137201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1362807137201 is an equidigital number, since it uses as much as digits as its factorization.

1362807137201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 1362807137201 in words is "one trillion, three hundred sixty-two billion, eight hundred seven million, one hundred thirty-seven thousand, two hundred one".