1353352975569 has 81 divisors (see below), whose sum is σ = 2351038057641. Its totient is φ = 747979157520.

The previous prime is 1353352975523. The next prime is 1353352975577. The reversal of 1353352975569 is 9655792533531.

It is a happy number.

The square root of 1353352975569 is 1163337.

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

1353352975569 is a `hidden beast` number, since 1 + 3 + 5 + 33 + 529 + 75 + 5 + 6 + 9 = 666.

It is not a de Polignac number, because 1353352975569 - 2⁹ = 1353352975057 is a prime.

It is a super-2 number, since 2×1353352975569² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1353352975369) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 757331494 + ... + 757333280.

Almost surely, 2^{1353352975569} is an apocalyptic number.

1353352975569 is the 1163337-th square number.

1353352975569 is the 581669-th centered octagonal number.

It is an amenable number.

1353352975569 is a deficient number, since it is larger than the sum of its proper divisors (997685082072).

1353352975569 is an frugal number, since it uses more digits than its factorization.

1353352975569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656 (or 1828 counting only the distinct ones).

The product of its digits is 114817500, while the sum is 63.

The spelling of 1353352975569 in words is "one trillion, three hundred fifty-three billion, three hundred fifty-two million, nine hundred seventy-five thousand, five hundred sixty-nine".