1005525313 has 8 divisors (see below), whose sum is σ = 1084140288. Its totient is φ = 927091344.

The previous prime is 1005525289. The next prime is 1005525349. The reversal of 1005525313 is 3135255001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005525313 - 2¹⁷ = 1005394241 is a prime.

It is a super-2 number, since 2×1005525313² = 2022162310167495938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005525383) 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 7 ways as a sum of consecutive naturals, for example, 33595 + ... + 56032.

It is an arithmetic number, because the mean of its divisors is an integer number (135517536).

Almost surely, 2^1005525313 is an apocalyptic number.

1005525313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1005525313 is a deficient number, since it is larger than the sum of its proper divisors (78614975).

1005525313 is an equidigital number, since it uses as much as digits as its factorization.

1005525313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90503.

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 1005525313 is about 31710.0191264528. The cubic root of 1005525313 is about 1001.8383892539.

The spelling of 1005525313 in words is "one billion, five million, five hundred twenty-five thousand, three hundred thirteen".