1005110401 has 2 divisors, whose sum is σ = 1005110402. Its totient is φ = 1005110400.

The previous prime is 1005110387. The next prime is 1005110413. The reversal of 1005110401 is 1040115001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 984453376 + 20657025 = 31376^2 + 4545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005110401 is a prime.

It is a super-3 number, since 3×1005110401³ (a number of 28 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1005110461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502555200 + 502555201.

It is an arithmetic number, because the mean of its divisors is an integer number (502555201).

Almost surely, 2^1005110401 is an apocalyptic number.

It is an amenable number.

1005110401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005110401 is an equidigital number, since it uses as much as digits as its factorization.

1005110401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 1005110401 is about 31703.4761658718. The cubic root of 1005110401 is about 1001.7005734108.

Adding to 1005110401 its reverse (1040115001), we get a palindrome (2045225402).

The spelling of 1005110401 in words is "one billion, five million, one hundred ten thousand, four hundred one".