10735553 has 2 divisors, whose sum is σ = 10735554. Its totient is φ = 10735552.

The previous prime is 10735541. The next prime is 10735559. The reversal of 10735553 is 35553701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10316944 + 418609 = 3212^2 + 647^2 .

It is a cyclic number.

It is not a de Polignac number, because 10735553 - 2⁶ = 10735489 is a prime.

It is not a weakly prime, because it can be changed into another prime (10735559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5367776 + 5367777.

It is an arithmetic number, because the mean of its divisors is an integer number (5367777).

Almost surely, 2^10735553 is an apocalyptic number.

It is an amenable number.

10735553 is a deficient number, since it is larger than the sum of its proper divisors (1).

10735553 is an equidigital number, since it uses as much as digits as its factorization.

10735553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7875, while the sum is 29.

The square root of 10735553 is about 3276.5153746015. The cubic root of 10735553 is about 220.6013369320.

It can be divided in two parts, 10 and 735553, that multiplied together give a triangular number (7355530 = T₃₈₃₅).

The spelling of 10735553 in words is "ten million, seven hundred thirty-five thousand, five hundred fifty-three".