35999990001001 has 8 divisors (see below), whose sum is σ = 38782138810184. Its totient is φ = 33219686736000.

The previous prime is 35999990000977. The next prime is 35999990001011. The reversal of 35999990001001 is 10010009999953.

It can be written as a sum of positive squares in 4 ways, for example, as 662921640000 + 35337068361001 = 814200^2 + 5944499^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 35999990001001 - 2¹⁹ = 35999989476713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35999990001011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461345526 + ... + 461423551.

It is an arithmetic number, because the mean of its divisors is an integer number (4847767351273).

Almost surely, 2^{35999990001001} is an apocalyptic number.

It is an amenable number.

35999990001001 is a deficient number, since it is larger than the sum of its proper divisors (2782148809183).

35999990001001 is a wasteful number, since it uses less digits than its factorization.

35999990001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922772091.

The product of its (nonzero) digits is 885735, while the sum is 55.

The spelling of 35999990001001 in words is "thirty-five trillion, nine hundred ninety-nine billion, nine hundred ninety million, one thousand, one".