1005111361 has 2 divisors, whose sum is σ = 1005111362. Its totient is φ = 1005111360.

The previous prime is 1005111347. The next prime is 1005111379. The reversal of 1005111361 is 1631115001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 585640000 + 419471361 = 24200^2 + 20481^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005111361 - 2²¹ = 1003014209 is a prime.

It is a super-2 number, since 2×1005111361² = 2020497696022544642, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005117361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502555680 + 502555681.

It is an arithmetic number, because the mean of its divisors is an integer number (502555681).

Almost surely, 2^1005111361 is an apocalyptic number.

It is an amenable number.

1005111361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005111361 is an equidigital number, since it uses as much as digits as its factorization.

1005111361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 1005111361 is about 31703.4913061637. The cubic root of 1005111361 is about 1001.7008923251.

Adding to 1005111361 its reverse (1631115001), we get a palindrome (2636226362).

It can be divided in two parts, 10051 and 11361, that added together give a palindrome (21412).

The spelling of 1005111361 in words is "one billion, five million, one hundred eleven thousand, three hundred sixty-one".