35006035801 has 27 divisors (see below), whose sum is σ = 39180173277. Its totient is φ = 31253016960.

The previous prime is 35006035789. The next prime is 35006035859. The reversal of 35006035801 is 10853060053.

The square root of 35006035801 is 187099.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2143597401 + 32862438400 = 46299^2 + 181280^2 .

It is not a de Polignac number, because 35006035801 - 2⁵ = 35006035769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35006035201) 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 in 26 ways as a sum of consecutive naturals, for example, 150240381 + ... + 150240613.

Almost surely, 2^35006035801 is an apocalyptic number.

35006035801 is the 187099-th square number.

35006035801 is the 93550-th centered octagonal number.

It is an amenable number.

35006035801 is a deficient number, since it is larger than the sum of its proper divisors (4174137476).

35006035801 is an frugal number, since it uses more digits than its factorization.

35006035801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 35006035801 its reverse (10853060053), we get a palindrome (45859095854).

The spelling of 35006035801 in words is "thirty-five billion, six million, thirty-five thousand, eight hundred one".