1735798345009 has 9 divisors (see below), whose sum is σ = 1738829918721. Its totient is φ = 1732772054400.

The previous prime is 1735798344961. The next prime is 1735798345019. The reversal of 1735798345009 is 9005438975371.

It is a happy number.

The square root of 1735798345009 is 1317497.

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 1177083954225 + 558714390784 = 1084935^2 + 747472^2 .

It is not a de Polignac number, because 1735798345009 - 2¹³ = 1735798336817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1735798345019) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1445293609 + ... + 1445294809.

Almost surely, 2^{1735798345009} is an apocalyptic number.

1735798345009 is the 1317497-th square number.

1735798345009 is the 658749-th centered octagonal number.

It is an amenable number.

1735798345009 is a deficient number, since it is larger than the sum of its proper divisors (3031573712).

1735798345009 is an frugal number, since it uses more digits than its factorization.

1735798345009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4596 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 61.

The spelling of 1735798345009 in words is "one trillion, seven hundred thirty-five billion, seven hundred ninety-eight million, three hundred forty-five thousand, nine".