75255257 has 16 divisors (see below), whose sum is σ = 98764800. Its totient is φ = 55553040.

The previous prime is 75255251. The next prime is 75255293.

75255257 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 75255257 - 2²⁰ = 74206681 is a prime.

It is a super-3 number, since 3×75255257³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 75255257.

It is not an unprimeable number, because it can be changed into a prime (75255251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24257 + ... + 27182.

It is an arithmetic number, because the mean of its divisors is an integer number (6172800).

Almost surely, 2^75255257 is an apocalyptic number.

75255257 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

75255257 is a deficient number, since it is larger than the sum of its proper divisors (23509543).

75255257 is a wasteful number, since it uses less digits than its factorization.

75255257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51476.

The product of its digits is 122500, while the sum is 38.

The square root of 75255257 is about 8674.9787895994. The cubic root of 75255257 is about 422.1942177820.

The spelling of 75255257 in words is "seventy-five million, two hundred fifty-five thousand, two hundred fifty-seven".