1233008141 has 2 divisors, whose sum is σ = 1233008142. Its totient is φ = 1233008140.

The previous prime is 1233008131. The next prime is 1233008143. The reversal of 1233008141 is 1418003321.

1233008141 = 24829² + 24830².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 616528900 + 616479241 = 24830^2 + 24829^2 .

It is a cyclic number.

It is not a de Polignac number, because 1233008141 - 2²² = 1228813837 is a prime.

It is a Sophie Germain prime.

Together with 1233008143, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1233008143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 616504070 + 616504071.

It is an arithmetic number, because the mean of its divisors is an integer number (616504071).

Almost surely, 2^1233008141 is an apocalyptic number.

1233008141 is the 24830-th centered square number.

It is an amenable number.

1233008141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1233008141 is an equidigital number, since it uses as much as digits as its factorization.

1233008141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1233008141 is about 35114.2156540624. The cubic root of 1233008141 is about 1072.3140129165.

The spelling of 1233008141 in words is "one billion, two hundred thirty-three million, eight thousand, one hundred forty-one".