75318960249 has 81 divisors (see below), whose sum is σ = 122267993679. Its totient is φ = 44657364960.

The previous prime is 75318960239. The next prime is 75318960259. The reversal of 75318960249 is 94206981357.

The square root of 75318960249 is 274443.

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

75318960249 is a `hidden beast` number, since 7 + 531 + 8 + 9 + 60 + 2 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (75318960239) and next prime (75318960259).

It can be written as a sum of positive squares in only one way, i.e., 11141858025 + 64177102224 = 105555^2 + 253332^2 .

It is not a de Polignac number, because 75318960249 - 2¹⁷ = 75318829177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 75318960195 and 75318960204.

It is not an unprimeable number, because it can be changed into a prime (75318960239) 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, 331801474 + ... + 331801700.

It is a 2-persistent number, because it is pandigital, and so is 2⋅75318960249 = 150637920498, but 3⋅75318960249 = 225956880747 is not.

Almost surely, 2^75318960249 is an apocalyptic number.

75318960249 is the 274443-rd square number.

75318960249 is the 137222-nd centered octagonal number.

It is an amenable number.

75318960249 is a deficient number, since it is larger than the sum of its proper divisors (46949033430).

75318960249 is a wasteful number, since it uses less digits than its factorization.

75318960249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 75318960249 in words is "seventy-five billion, three hundred eighteen million, nine hundred sixty thousand, two hundred forty-nine".