1023002129 has 2 divisors, whose sum is σ = 1023002130. Its totient is φ = 1023002128.

The previous prime is 1023002089. The next prime is 1023002143. The reversal of 1023002129 is 9212003201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 527850625 + 495151504 = 22975^2 + 22252^2 .

It is an emirp because it is prime and its reverse (9212003201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1023002129 - 2²⁰ = 1021953553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1023002129.

It is not a weakly prime, because it can be changed into another prime (1023002179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511501064 + 511501065.

It is an arithmetic number, because the mean of its divisors is an integer number (511501065).

Almost surely, 2^1023002129 is an apocalyptic number.

It is an amenable number.

1023002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023002129 is an equidigital number, since it uses as much as digits as its factorization.

1023002129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1023002129 is about 31984.4044653015. The cubic root of 1023002129 is about 1007.6093276020.

The spelling of 1023002129 in words is "one billion, twenty-three million, two thousand, one hundred twenty-nine".