35772003809 has 2 divisors, whose sum is σ = 35772003810. Its totient is φ = 35772003808.

The previous prime is 35772003749. The next prime is 35772003833. The reversal of 35772003809 is 90830027753.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32069646400 + 3702357409 = 179080^2 + 60847^2 .

It is a cyclic number.

It is not a de Polignac number, because 35772003809 - 2¹⁶ = 35771938273 is a prime.

It is a super-4 number, since 4×35772003809⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 35772003809.

It is not a weakly prime, because it can be changed into another prime (35772053809) 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, 17886001904 + 17886001905.

It is an arithmetic number, because the mean of its divisors is an integer number (17886001905).

Almost surely, 2^35772003809 is an apocalyptic number.

It is an amenable number.

35772003809 is a deficient number, since it is larger than the sum of its proper divisors (1).

35772003809 is an equidigital number, since it uses as much as digits as its factorization.

35772003809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 317520, while the sum is 44.

The spelling of 35772003809 in words is "thirty-five billion, seven hundred seventy-two million, three thousand, eight hundred nine".