1005278431 has 2 divisors, whose sum is σ = 1005278432. Its totient is φ = 1005278430.

The previous prime is 1005278399. The next prime is 1005278437. The reversal of 1005278431 is 1348725001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1005278431 - 2⁵ = 1005278399 is a prime.

It is a super-2 number, since 2×1005278431² = 2021169447667643522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005278393 and 1005278402.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005278437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502639215 + 502639216.

It is an arithmetic number, because the mean of its divisors is an integer number (502639216).

Almost surely, 2^1005278431 is an apocalyptic number.

1005278431 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005278431 is an equidigital number, since it uses as much as digits as its factorization.

1005278431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 1005278431 is about 31706.1260799865. The cubic root of 1005278431 is about 1001.7563902871.

The spelling of 1005278431 in words is "one billion, five million, two hundred seventy-eight thousand, four hundred thirty-one".