1361253672001 has 2 divisors, whose sum is σ = 1361253672002. Its totient is φ = 1361253672000.

The previous prime is 1361253671951. The next prime is 1361253672011. The reversal of 1361253672001 is 1002763521631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 972046133776 + 389207538225 = 985924^2 + 623865^2 .

It is an emirp because it is prime and its reverse (1002763521631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1361253672001 - 2²⁷ = 1361119454273 is a prime.

It is not a weakly prime, because it can be changed into another prime (1361253672011) 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, 680626836000 + 680626836001.

It is an arithmetic number, because the mean of its divisors is an integer number (680626836001).

Almost surely, 2^{1361253672001} is an apocalyptic number.

It is an amenable number.

1361253672001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1361253672001 is an equidigital number, since it uses as much as digits as its factorization.

1361253672001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 1361253672001 in words is "one trillion, three hundred sixty-one billion, two hundred fifty-three million, six hundred seventy-two thousand, one".