75252877825257 has 24 divisors (see below), whose sum is σ = 118584043999200. Its totient is φ = 45606361793280.

The previous prime is 75252877825247. The next prime is 75252877825261.

It is a happy number.

75252877825257 is a `hidden beast` number, since 7 + 5 + 2 + 5 + 28 + 7 + 78 + 2 + 525 + 7 = 666.

75252877825257 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75252877825257 - 2⁷ = 75252877825129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75252877825247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8875503 + ... + 15142004.

It is an arithmetic number, because the mean of its divisors is an integer number (4941001833300).

Almost surely, 2^{75252877825257} is an apocalyptic number.

It is an amenable number.

75252877825257 is a deficient number, since it is larger than the sum of its proper divisors (43331166173943).

75252877825257 is a wasteful number, since it uses less digits than its factorization.

75252877825257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24049173 (or 24049170 counting only the distinct ones).

The product of its digits is 1536640000, while the sum is 72.

The spelling of 75252877825257 in words is "seventy-five trillion, two hundred fifty-two billion, eight hundred seventy-seven million, eight hundred twenty-five thousand, two hundred fifty-seven".