1005264125 has 32 divisors (see below), whose sum is σ = 1317288960. Its totient is φ = 764904000.

The previous prime is 1005264121. The next prime is 1005264157. The reversal of 1005264125 is 5214625001.

It is not a de Polignac number, because 1005264125 - 2² = 1005264121 is a prime.

It is a super-2 number, since 2×1005264125² = 2021111922024031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005264094 and 1005264103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005264121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226427 + ... + 230823.

It is an arithmetic number, because the mean of its divisors is an integer number (41165280).

Almost surely, 2^1005264125 is an apocalyptic number.

It is an amenable number.

1005264125 is a deficient number, since it is larger than the sum of its proper divisors (312024835).

1005264125 is an equidigital number, since it uses as much as digits as its factorization.

1005264125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1005264125 is about 31705.9004760944. The cubic root of 1005264125 is about 1001.7516383051.

Adding to 1005264125 its reverse (5214625001), we get a palindrome (6219889126).

The spelling of 1005264125 in words is "one billion, five million, two hundred sixty-four thousand, one hundred twenty-five".