1005717225 has 24 divisors (see below), whose sum is σ = 1682829792. Its totient is φ = 529916800.

The previous prime is 1005717199. The next prime is 1005717227. The reversal of 1005717225 is 5227175001.

It is not a de Polignac number, because 1005717225 - 2²¹ = 1003620073 is a prime.

It is a super-2 number, since 2×1005717225² = 2022934273323401250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005717192 and 1005717201.

It is not an unprimeable number, because it can be changed into a prime (1005717227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74556 + ... + 87005.

It is an arithmetic number, because the mean of its divisors is an integer number (70117908).

Almost surely, 2^1005717225 is an apocalyptic number.

1005717225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005717225 is a deficient number, since it is larger than the sum of its proper divisors (677112567).

1005717225 is a wasteful number, since it uses less digits than its factorization.

1005717225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161657 (or 161652 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 1005717225 is about 31713.0450288206. The cubic root of 1005717225 is about 1001.9021213072.

The spelling of 1005717225 in words is "one billion, five million, seven hundred seventeen thousand, two hundred twenty-five".