35500813 has 2 divisors, whose sum is σ = 35500814. Its totient is φ = 35500812.

The previous prime is 35500807. The next prime is 35500819. The reversal of 35500813 is 31800553.

It is a happy number.

35500813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (35500807) and next prime (35500819).

It can be written as a sum of positive squares in only one way, i.e., 32410249 + 3090564 = 5693^2 + 1758^2 .

It is an emirp because it is prime and its reverse (31800553) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35500813 - 2¹³ = 35492621 is a prime.

35500813 is a modest number, since divided by 813 gives 355 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35500819) 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, 17750406 + 17750407.

It is an arithmetic number, because the mean of its divisors is an integer number (17750407).

Almost surely, 2^35500813 is an apocalyptic number.

It is an amenable number.

35500813 is a deficient number, since it is larger than the sum of its proper divisors (1).

35500813 is an equidigital number, since it uses as much as digits as its factorization.

35500813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 35500813 is about 5958.2558689603. The cubic root of 35500813 is about 328.6594314551.

The spelling of 35500813 in words is "thirty-five million, five hundred thousand, eight hundred thirteen".