1005223154053 has 2 divisors, whose sum is σ = 1005223154054. Its totient is φ = 1005223154052.

The previous prime is 1005223154041. The next prime is 1005223154063. The reversal of 1005223154053 is 3504513225001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 861003977409 + 144219176644 = 927903^2 + 379762^2 .

It is an emirp because it is prime and its reverse (3504513225001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005223154053 - 2²⁵ = 1005189599621 is a prime.

It is a super-2 number, since 2×1005223154053² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005223154063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502611577026 + 502611577027.

It is an arithmetic number, because the mean of its divisors is an integer number (502611577027).

Almost surely, 2^{1005223154053} is an apocalyptic number.

It is an amenable number.

1005223154053 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005223154053 is an equidigital number, since it uses as much as digits as its factorization.

1005223154053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 1005223154053 its reverse (3504513225001), we get a palindrome (4509736379054).

The spelling of 1005223154053 in words is "one trillion, five billion, two hundred twenty-three million, one hundred fifty-four thousand, fifty-three".