11505401396353 has 2 divisors, whose sum is σ = 11505401396354. Its totient is φ = 11505401396352.

The previous prime is 11505401396317. The next prime is 11505401396371. The reversal of 11505401396353 is 35369310450511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11239075215729 + 266326180624 = 3352473^2 + 516068^2 .

It is a cyclic number.

It is not a de Polignac number, because 11505401396353 - 2¹³ = 11505401388161 is a prime.

It is a super-2 number, since 2×11505401396353² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11505401396303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5752700698176 + 5752700698177.

It is an arithmetic number, because the mean of its divisors is an integer number (5752700698177).

Almost surely, 2^{11505401396353} is an apocalyptic number.

It is an amenable number.

11505401396353 is a deficient number, since it is larger than the sum of its proper divisors (1).

11505401396353 is an equidigital number, since it uses as much as digits as its factorization.

11505401396353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729000, while the sum is 46.

The spelling of 11505401396353 in words is "eleven trillion, five hundred five billion, four hundred one million, three hundred ninety-six thousand, three hundred fifty-three".