1353105311 has 8 divisors (see below), whose sum is σ = 1431782400. Its totient is φ = 1275174360.

The previous prime is 1353105301. The next prime is 1353105319. The reversal of 1353105311 is 1135013531.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1353105311 - 2¹⁰ = 1353104287 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353105319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182801 + ... + 190058.

It is an arithmetic number, because the mean of its divisors is an integer number (178972800).

Almost surely, 2^1353105311 is an apocalyptic number.

1353105311 is a deficient number, since it is larger than the sum of its proper divisors (78677089).

1353105311 is a wasteful number, since it uses less digits than its factorization.

1353105311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373069.

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 1353105311 is about 36784.5797991495. The cubic root of 1353105311 is about 1106.0562127873.

Adding to 1353105311 its reverse (1135013531), we get a palindrome (2488118842).

The spelling of 1353105311 in words is "one billion, three hundred fifty-three million, one hundred five thousand, three hundred eleven".