36049881759121 has 2 divisors, whose sum is σ = 36049881759122. Its totient is φ = 36049881759120.

The previous prime is 36049881759053. The next prime is 36049881759187. The reversal of 36049881759121 is 12195718894063.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35918014730896 + 131867028225 = 5993164^2 + 363135^2 .

It is an emirp because it is prime and its reverse (12195718894063) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36049881759121 - 2³⁹ = 35500125945233 is a prime.

It is not a weakly prime, because it can be changed into another prime (36049881759721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18024940879560 + 18024940879561.

It is an arithmetic number, because the mean of its divisors is an integer number (18024940879561).

It is a 4-persistent number, because k⋅36049881759121 is pandigital for 1 ≤ k ≤ 4, but not for k = 5.

Almost surely, 2^{36049881759121} is an apocalyptic number.

It is an amenable number.

36049881759121 is a deficient number, since it is larger than the sum of its proper divisors (1).

36049881759121 is an equidigital number, since it uses as much as digits as its factorization.

36049881759121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26127360, while the sum is 64.

The spelling of 36049881759121 in words is "thirty-six trillion, forty-nine billion, eight hundred eighty-one million, seven hundred fifty-nine thousand, one hundred twenty-one".