91752460801 has 2 divisors, whose sum is σ = 91752460802. Its totient is φ = 91752460800.

The previous prime is 91752460759. The next prime is 91752460817. The reversal of 91752460801 is 10806425719.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90812425201 + 940035600 = 301351^2 + 30660^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-91752460801 is a prime.

It is a super-4 number, since 4×91752460801⁴ (a number of 45 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (91752460861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45876230400 + 45876230401.

It is an arithmetic number, because the mean of its divisors is an integer number (45876230401).

Almost surely, 2^91752460801 is an apocalyptic number.

It is an amenable number.

91752460801 is a deficient number, since it is larger than the sum of its proper divisors (1).

91752460801 is an equidigital number, since it uses as much as digits as its factorization.

91752460801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 91752460801 in words is "ninety-one billion, seven hundred fifty-two million, four hundred sixty thousand, eight hundred one".