1005225101303 has 2 divisors, whose sum is σ = 1005225101304. Its totient is φ = 1005225101302.

The previous prime is 1005225101299. The next prime is 1005225101401. The reversal of 1005225101303 is 3031015225001.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (3031015225001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005225101303 - 2² = 1005225101299 is a prime.

It is a super-2 number, since 2×1005225101303² (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 (1005225001303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502612550651 + 502612550652.

It is an arithmetic number, because the mean of its divisors is an integer number (502612550652).

Almost surely, 2^{1005225101303} is an apocalyptic number.

1005225101303 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005225101303 is an equidigital number, since it uses as much as digits as its factorization.

1005225101303 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 1005225101303 in words is "one trillion, five billion, two hundred twenty-five million, one hundred one thousand, three hundred three".