10035550400273 has 2 divisors, whose sum is σ = 10035550400274. Its totient is φ = 10035550400272.

The previous prime is 10035550400221. The next prime is 10035550400347. The reversal of 10035550400273 is 37200405553001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9611134633489 + 424415766784 = 3100183^2 + 651472^2 .

It is a cyclic number.

It is not a de Polignac number, because 10035550400273 - 2⁶ = 10035550400209 is a prime.

It is a super-4 number, since 4×10035550400273⁴ (a number of 53 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (10035550400573) 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, 5017775200136 + 5017775200137.

It is an arithmetic number, because the mean of its divisors is an integer number (5017775200137).

Almost surely, 2^{10035550400273} is an apocalyptic number.

It is an amenable number.

10035550400273 is a deficient number, since it is larger than the sum of its proper divisors (1).

10035550400273 is an equidigital number, since it uses as much as digits as its factorization.

10035550400273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63000, while the sum is 35.

Adding to 10035550400273 its reverse (37200405553001), we get a palindrome (47235955953274).

The spelling of 10035550400273 in words is "ten trillion, thirty-five billion, five hundred fifty million, four hundred thousand, two hundred seventy-three".