1023101561 has 2 divisors, whose sum is σ = 1023101562. Its totient is φ = 1023101560.

The previous prime is 1023101543. The next prime is 1023101581. The reversal of 1023101561 is 1651013201.

It is an a-pointer prime, because the next prime (1023101581) can be obtained adding 1023101561 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 707826025 + 315275536 = 26605^2 + 17756^2 .

It is an emirp because it is prime and its reverse (1651013201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1023101561 - 2¹⁰ = 1023100537 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1023101501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511550780 + 511550781.

It is an arithmetic number, because the mean of its divisors is an integer number (511550781).

Almost surely, 2^1023101561 is an apocalyptic number.

It is an amenable number.

1023101561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023101561 is an equidigital number, since it uses as much as digits as its factorization.

1023101561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 1023101561 is about 31985.9588100779. The cubic root of 1023101561 is about 1007.6419718367.

Adding to 1023101561 its reverse (1651013201), we get a palindrome (2674114762).

The spelling of 1023101561 in words is "one billion, twenty-three million, one hundred one thousand, five hundred sixty-one".