3633041006981 has 2 divisors, whose sum is σ = 3633041006982. Its totient is φ = 3633041006980.

The previous prime is 3633041006957. The next prime is 3633041006989. The reversal of 3633041006981 is 1896001403363.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3248523197956 + 384517809025 = 1802366^2 + 620095^2 .

It is a cyclic number.

It is not a de Polignac number, because 3633041006981 - 2³⁴ = 3615861137797 is a prime.

It is a super-2 number, since 2×3633041006981² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3633041006989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1816520503490 + 1816520503491.

It is an arithmetic number, because the mean of its divisors is an integer number (1816520503491).

Almost surely, 2^{3633041006981} is an apocalyptic number.

It is an amenable number.

3633041006981 is a deficient number, since it is larger than the sum of its proper divisors (1).

3633041006981 is an equidigital number, since it uses as much as digits as its factorization.

3633041006981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 279936, while the sum is 44.

The spelling of 3633041006981 in words is "three trillion, six hundred thirty-three billion, forty-one million, six thousand, nine hundred eighty-one".