1005302211157 has 2 divisors, whose sum is σ = 1005302211158. Its totient is φ = 1005302211156.

The previous prime is 1005302211143. The next prime is 1005302211217. The reversal of 1005302211157 is 7511122035001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 620075927601 + 385226283556 = 787449^2 + 620666^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005302211157 - 2¹⁹ = 1005301686869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005302211857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502651105578 + 502651105579.

It is an arithmetic number, because the mean of its divisors is an integer number (502651105579).

Almost surely, 2^{1005302211157} is an apocalyptic number.

It is an amenable number.

1005302211157 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005302211157 is an equidigital number, since it uses as much as digits as its factorization.

1005302211157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2100, while the sum is 28.

Adding to 1005302211157 its reverse (7511122035001), we get a palindrome (8516424246158).

The spelling of 1005302211157 in words is "one trillion, five billion, three hundred two million, two hundred eleven thousand, one hundred fifty-seven".