1353513414513 has 16 divisors (see below), whose sum is σ = 1943528106240. Its totient is φ = 832922047104.

The previous prime is 1353513414503. The next prime is 1353513414553. The reversal of 1353513414513 is 3154143153531.

It is not a de Polignac number, because 1353513414513 - 2²⁰ = 1353512365937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1353513414503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5390245 + ... + 5635757.

It is an arithmetic number, because the mean of its divisors is an integer number (121470506640).

Almost surely, 2^{1353513414513} is an apocalyptic number.

1353513414513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1353513414513 is a deficient number, since it is larger than the sum of its proper divisors (590014691727).

1353513414513 is a wasteful number, since it uses less digits than its factorization.

1353513414513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386888.

The product of its digits is 162000, while the sum is 39.

The spelling of 1353513414513 in words is "one trillion, three hundred fifty-three billion, five hundred thirteen million, four hundred fourteen thousand, five hundred thirteen".