1005225550 has 96 divisors (see below), whose sum is σ = 2235481920. Its totient is φ = 329011200.

The previous prime is 1005225503. The next prime is 1005225563. The reversal of 1005225550 is 555225001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 984040 + ... + 985060.

It is an arithmetic number, because the mean of its divisors is an integer number (23286270).

Almost surely, 2^1005225550 is an apocalyptic number.

1005225550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005225550 is an abundant number, since it is smaller than the sum of its proper divisors (1230256370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005225550 is a wasteful number, since it uses less digits than its factorization.

1005225550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 25.

The square root of 1005225550 is about 31705.2921450032. The cubic root of 1005225550 is about 1001.7388247361.

The spelling of 1005225550 in words is "one billion, five million, two hundred twenty-five thousand, five hundred fifty".