1005525135 has 24 divisors (see below), whose sum is σ = 1790018880. Its totient is φ = 521785152.

The previous prime is 1005525133. The next prime is 1005525139. The reversal of 1005525135 is 5315255001.

1005525135 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 525 + 135 = 666.

It is not a de Polignac number, because 1005525135 - 2¹ = 1005525133 is a prime.

It is a super-2 number, since 2×1005525135² = 2022161594233536450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005525099 and 1005525108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005525133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300295 + ... + 303624.

It is an arithmetic number, because the mean of its divisors is an integer number (74584120).

Almost surely, 2^1005525135 is an apocalyptic number.

1005525135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005525135 is a deficient number, since it is larger than the sum of its proper divisors (784493745).

1005525135 is a wasteful number, since it uses less digits than its factorization.

1005525135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603967 (or 603964 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 1005525135 is about 31710.0163197687. The cubic root of 1005525135 is about 1001.8383301381.

The spelling of 1005525135 in words is "one billion, five million, five hundred twenty-five thousand, one hundred thirty-five".