75399125793289 has 81 divisors (see below), whose sum is σ = 82004533809471. Its totient is φ = 69321646437120.

The previous prime is 75399125793287. The next prime is 75399125793323. The reversal of 75399125793289 is 98239752199357.

It is a happy number.

The square root of 75399125793289 is 8683267.

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

It can be written as a sum of positive squares in 13 ways, for example, as 61241063994889 + 14158061798400 = 7825667^2 + 3762720^2 .

It is not a de Polignac number, because 75399125793289 - 2¹ = 75399125793287 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75399125793287) 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, 691735098967 + ... + 691735099075.

Almost surely, 2^{75399125793289} is an apocalyptic number.

75399125793289 is the 8683267-th square number.

75399125793289 is the 4341634-th centered octagonal number.

It is an amenable number.

75399125793289 is a deficient number, since it is larger than the sum of its proper divisors (6605408016182).

75399125793289 is an frugal number, since it uses more digits than its factorization.

75399125793289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 246 counting only the distinct ones).

The product of its digits is 2314720800, while the sum is 79.

The spelling of 75399125793289 in words is "seventy-five trillion, three hundred ninety-nine billion, one hundred twenty-five million, seven hundred ninety-three thousand, two hundred eighty-nine".