10584274801153 has 2 divisors, whose sum is σ = 10584274801154. Its totient is φ = 10584274801152.

The previous prime is 10584274801129. The next prime is 10584274801213. The reversal of 10584274801153 is 35110847248501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9159290650624 + 1424984150529 = 3026432^2 + 1193727^2 .

It is a cyclic number.

It is not a de Polignac number, because 10584274801153 - 2⁹ = 10584274800641 is a prime.

It is a super-2 number, since 2×10584274801153² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10584274801097 and 10584274801106.

It is not a weakly prime, because it can be changed into another prime (10584274801103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292137400576 + 5292137400577.

It is an arithmetic number, because the mean of its divisors is an integer number (5292137400577).

Almost surely, 2^{10584274801153} is an apocalyptic number.

It is an amenable number.

10584274801153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10584274801153 is an equidigital number, since it uses as much as digits as its factorization.

10584274801153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1075200, while the sum is 49.

The spelling of 10584274801153 in words is "ten trillion, five hundred eighty-four billion, two hundred seventy-four million, eight hundred one thousand, one hundred fifty-three".