75449253939409 has 27 divisors (see below), whose sum is σ = 88603062609243. Its totient is φ = 64060864799568.

The previous prime is 75449253939377. The next prime is 75449253939421. The reversal of 75449253939409 is 90493935294457.

The square root of 75449253939409 is 8686153.

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

It can be written as a sum of positive squares in only one way, i.e., 66347133890625 + 9102120048784 = 8145375^2 + 3016972^2 .

It is not a de Polignac number, because 75449253939409 - 2⁵ = 75449253939377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75449253933409) 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, 6505922799 + ... + 6505934395.

Almost surely, 2^{75449253939409} is an apocalyptic number.

75449253939409 is the 8686153-rd square number.

75449253939409 is the 4343077-th centered octagonal number.

It is an amenable number.

75449253939409 is a deficient number, since it is larger than the sum of its proper divisors (13153808669834).

75449253939409 is an frugal number, since it uses more digits than its factorization.

75449253939409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23422 (or 11711 counting only the distinct ones).

The product of its (nonzero) digits is 1322697600, while the sum is 73.

The spelling of 75449253939409 in words is "seventy-five trillion, four hundred forty-nine billion, two hundred fifty-three million, nine hundred thirty-nine thousand, four hundred nine".