75232355323257 has 32 divisors (see below), whose sum is σ = 121602321039360. Its totient is φ = 45589863335760.

The previous prime is 75232355323253. The next prime is 75232355323261.

75232355323257 is a `hidden beast` number, since 7 + 5 + 2 + 3 + 2 + 3 + 553 + 2 + 32 + 57 = 666.

75232355323257 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (75232355323253) and next prime (75232355323261).

It is not a de Polignac number, because 75232355323257 - 2² = 75232355323253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75232355323253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12822193 + ... + 17744670.

It is an arithmetic number, because the mean of its divisors is an integer number (3800072532480).

Almost surely, 2^{75232355323257} is an apocalyptic number.

It is an amenable number.

75232355323257 is a deficient number, since it is larger than the sum of its proper divisors (46369965716103).

75232355323257 is a wasteful number, since it uses less digits than its factorization.

75232355323257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30575170 (or 30575164 counting only the distinct ones).

The product of its digits is 39690000, while the sum is 54.

The spelling of 75232355323257 in words is "seventy-five trillion, two hundred thirty-two billion, three hundred fifty-five million, three hundred twenty-three thousand, two hundred fifty-seven".