4003623248129 has 2 divisors, whose sum is σ = 4003623248130. Its totient is φ = 4003623248128.

The previous prime is 4003623248099. The next prime is 4003623248179. The reversal of 4003623248129 is 9218423263004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3982511158129 + 21112090000 = 1995623^2 + 145300^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4003623248129 is a prime.

It is a super-2 number, since 2×4003623248129² (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4003623248129.

It is not a weakly prime, because it can be changed into another prime (4003623248179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2001811624064 + 2001811624065.

It is an arithmetic number, because the mean of its divisors is an integer number (2001811624065).

Almost surely, 2^{4003623248129} is an apocalyptic number.

It is an amenable number.

4003623248129 is a deficient number, since it is larger than the sum of its proper divisors (1).

4003623248129 is an equidigital number, since it uses as much as digits as its factorization.

4003623248129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 4003623248129 in words is "four trillion, three billion, six hundred twenty-three million, two hundred forty-eight thousand, one hundred twenty-nine".