1005131025 has 60 divisors (see below), whose sum is σ = 1888343424. Its totient is φ = 528444000.

The previous prime is 1005131009. The next prime is 1005131041. The reversal of 1005131025 is 5201315001.

1005131025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1005131009) and next prime (1005131041).

It is not a de Polignac number, because 1005131025 - 2⁴ = 1005131009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005130989 and 1005131007.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 140280 + ... + 147270.

Almost surely, 2^1005131025 is an apocalyptic number.

1005131025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005131025 is a deficient number, since it is larger than the sum of its proper divisors (883212399).

1005131025 is an equidigital number, since it uses as much as digits as its factorization.

1005131025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7084 (or 7070 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1005131025 is about 31703.8014282199. The cubic root of 1005131025 is about 1001.7074247083.

Adding to 1005131025 its reverse (5201315001), we get a palindrome (6206446026).

The spelling of 1005131025 in words is "one billion, five million, one hundred thirty-one thousand, twenty-five".