10745505238577 has 2 divisors, whose sum is σ = 10745505238578. Its totient is φ = 10745505238576.

The previous prime is 10745505238511. The next prime is 10745505238583. The reversal of 10745505238577 is 77583250554701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7593463629376 + 3152041609201 = 2755624^2 + 1775399^2 .

It is a cyclic number.

It is not a de Polignac number, because 10745505238577 - 2¹² = 10745505234481 is a prime.

It is not a weakly prime, because it can be changed into another prime (10745505238177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5372752619288 + 5372752619289.

It is an arithmetic number, because the mean of its divisors is an integer number (5372752619289).

Almost surely, 2^{10745505238577} is an apocalyptic number.

It is an amenable number.

10745505238577 is a deficient number, since it is larger than the sum of its proper divisors (1).

10745505238577 is an equidigital number, since it uses as much as digits as its factorization.

10745505238577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41160000, while the sum is 59.

The spelling of 10745505238577 in words is "ten trillion, seven hundred forty-five billion, five hundred five million, two hundred thirty-eight thousand, five hundred seventy-seven".