1353307661205 has 16 divisors (see below), whose sum is σ = 2173717525824. Its totient is φ = 718955663360.

The previous prime is 1353307661177. The next prime is 1353307661227. The reversal of 1353307661205 is 5021667033531.

It is not a de Polignac number, because 1353307661205 - 2⁶ = 1353307661141 is a prime.

It is a super-2 number, since 2×1353307661205² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175522431 + ... + 175530140.

It is an arithmetic number, because the mean of its divisors is an integer number (135857345364).

Almost surely, 2^{1353307661205} is an apocalyptic number.

1353307661205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1353307661205 is a deficient number, since it is larger than the sum of its proper divisors (820409864619).

1353307661205 is a wasteful number, since it uses less digits than its factorization.

1353307661205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351052836.

The product of its (nonzero) digits is 340200, while the sum is 42.

The spelling of 1353307661205 in words is "one trillion, three hundred fifty-three billion, three hundred seven million, six hundred sixty-one thousand, two hundred five".