75305257105 has 32 divisors (see below), whose sum is σ = 98421472800. Its totient is φ = 54980812800.

The previous prime is 75305257081. The next prime is 75305257109. The reversal of 75305257105 is 50175250357.

It can be written as a sum of positive squares in 16 ways, for example, as 3885901569 + 71419355536 = 62337^2 + 267244^2 .

It is not a de Polignac number, because 75305257105 - 2⁵ = 75305257073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75305257109) 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, 4804321 + ... + 4819969.

It is an arithmetic number, because the mean of its divisors is an integer number (3075671025).

Almost surely, 2^75305257105 is an apocalyptic number.

It is an amenable number.

75305257105 is a deficient number, since it is larger than the sum of its proper divisors (23116215695).

75305257105 is a wasteful number, since it uses less digits than its factorization.

75305257105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16501.

The product of its (nonzero) digits is 183750, while the sum is 40.

The spelling of 75305257105 in words is "seventy-five billion, three hundred five million, two hundred fifty-seven thousand, one hundred five".