1127515661201 has 2 divisors, whose sum is σ = 1127515661202. Its totient is φ = 1127515661200.

The previous prime is 1127515661183. The next prime is 1127515661249. The reversal of 1127515661201 is 1021665157211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 778896267601 + 348619393600 = 882551^2 + 590440^2 .

It is a cyclic number.

It is not a de Polignac number, because 1127515661201 - 2⁶ = 1127515661137 is a prime.

It is not a weakly prime, because it can be changed into another prime (1127515661801) 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, 563757830600 + 563757830601.

It is an arithmetic number, because the mean of its divisors is an integer number (563757830601).

Almost surely, 2^{1127515661201} is an apocalyptic number.

It is an amenable number.

1127515661201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1127515661201 is an equidigital number, since it uses as much as digits as its factorization.

1127515661201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 38.

The spelling of 1127515661201 in words is "one trillion, one hundred twenty-seven billion, five hundred fifteen million, six hundred sixty-one thousand, two hundred one".