1353329708929 has 27 divisors (see below), whose sum is σ = 1580448089353. Its totient is φ = 1157743030400.

The previous prime is 1353329708897. The next prime is 1353329708933. The reversal of 1353329708929 is 9298079233531.

The square root of 1353329708929 is 1163327.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 112449562225 + 1240880146704 = 335335^2 + 1113948^2 .

It is not a de Polignac number, because 1353329708929 - 2⁵ = 1353329708897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1353329708989) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 217539039 + ... + 217545259.

Almost surely, 2^{1353329708929} is an apocalyptic number.

1353329708929 is the 1163327-th square number.

1353329708929 is the 581664-th centered octagonal number.

It is an amenable number.

1353329708929 is a deficient number, since it is larger than the sum of its proper divisors (227118380424).

1353329708929 is an frugal number, since it uses more digits than its factorization.

1353329708929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12498 (or 6249 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 61.

The spelling of 1353329708929 in words is "one trillion, three hundred fifty-three billion, three hundred twenty-nine million, seven hundred eight thousand, nine hundred twenty-nine".