3258252433969 has 27 divisors (see below), whose sum is σ = 3688845936993. Its totient is φ = 2876375110752.

The previous prime is 3258252433967. The next prime is 3258252434071. The reversal of 3258252433969 is 9693342528523.

It is a happy number.

The square root of 3258252433969 is 1805063.

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 1406802371569 + 1851450062400 = 1186087^2 + 1360680^2 .

It is not a de Polignac number, because 3258252433969 - 2¹ = 3258252433967 is a prime.

It is a super-2 number, since 2×3258252433969² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3258252433967) 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, 539710819 + ... + 539716855.

Almost surely, 2^{3258252433969} is an apocalyptic number.

3258252433969 is the 1805063-rd square number.

3258252433969 is the 902532-nd centered octagonal number.

It is an amenable number.

3258252433969 is a deficient number, since it is larger than the sum of its proper divisors (430593503024).

3258252433969 is an frugal number, since it uses more digits than its factorization.

3258252433969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12146 (or 6073 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 61.

The spelling of 3258252433969 in words is "three trillion, two hundred fifty-eight billion, two hundred fifty-two million, four hundred thirty-three thousand, nine hundred sixty-nine".