75253435257 has 72 divisors (see below), whose sum is σ = 138164392128. Its totient is φ = 36085452480.

The previous prime is 75253435249. The next prime is 75253435303.

75253435257 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75253435257 - 2³ = 75253435249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75253435057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68508 + ... + 393954.

Almost surely, 2^75253435257 is an apocalyptic number.

75253435257 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

75253435257 is a deficient number, since it is larger than the sum of its proper divisors (62910956871).

75253435257 is a wasteful number, since it uses less digits than its factorization.

75253435257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325499 (or 325481 counting only the distinct ones).

The product of its digits is 4410000, while the sum is 48.

The spelling of 75253435257 in words is "seventy-five billion, two hundred fifty-three million, four hundred thirty-five thousand, two hundred fifty-seven".