75365091228249 has 27 divisors (see below), whose sum is σ = 109065304238709. Its totient is φ = 50149132520760.

The previous prime is 75365091228209. The next prime is 75365091228253. The reversal of 75365091228249 is 94282219056357.

The square root of 75365091228249 is 8681307.

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

75365091228249 is a `hidden beast` number, since 7 + 5 + 3 + 6 + 509 + 1 + 2 + 2 + 82 + 49 = 666.

It is not a de Polignac number, because 75365091228249 - 2¹³ = 75365091220057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75365091228209) 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, 15600306264 + ... + 15600311094.

It is a 2-persistent number, because it is pandigital, and so is 2⋅75365091228249 = 150730182456498, but 3⋅75365091228249 = 226095273684747 is not.

Almost surely, 2^{75365091228249} is an apocalyptic number.

75365091228249 is the 8681307-th square number.

75365091228249 is the 4340654-th centered octagonal number.

It is an amenable number.

75365091228249 is a deficient number, since it is larger than the sum of its proper divisors (33700213010460).

75365091228249 is an frugal number, since it uses more digits than its factorization.

75365091228249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10866 (or 5433 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 75365091228249 in words is "seventy-five trillion, three hundred sixty-five billion, ninety-one million, two hundred twenty-eight thousand, two hundred forty-nine".