10752135600761 has 2 divisors, whose sum is σ = 10752135600762. Its totient is φ = 10752135600760.

The previous prime is 10752135600709. The next prime is 10752135600799. The reversal of 10752135600761 is 16700653125701.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10386884591161 + 365251009600 = 3222869^2 + 604360^2 .

It is a cyclic number.

It is not a de Polignac number, because 10752135600761 - 2⁶ = 10752135600697 is a prime.

It is a super-2 number, since 2×10752135600761² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10752135600361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5376067800380 + 5376067800381.

It is an arithmetic number, because the mean of its divisors is an integer number (5376067800381).

Almost surely, 2^{10752135600761} is an apocalyptic number.

It is an amenable number.

10752135600761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10752135600761 is an equidigital number, since it uses as much as digits as its factorization.

10752135600761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 264600, while the sum is 44.

The spelling of 10752135600761 in words is "ten trillion, seven hundred fifty-two billion, one hundred thirty-five million, six hundred thousand, seven hundred sixty-one".