1005506050 has 24 divisors (see below), whose sum is σ = 1874852100. Its totient is φ = 401210880.

The previous prime is 1005506041. The next prime is 1005506059. The reversal of 1005506050 is 506055001.

It is an interprime number because it is at equal distance from previous prime (1005506041) and next prime (1005506059).

It can be written as a sum of positive squares in 6 ways, for example, as 695851641 + 309654409 = 26379^2 + 17597^2 .

It is a super-2 number, since 2×1005506050² = 2022084833173205000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005506059) 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 11 ways as a sum of consecutive naturals, for example, 4135 + ... + 45034.

Almost surely, 2^1005506050 is an apocalyptic number.

1005506050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005506050 is a deficient number, since it is larger than the sum of its proper divisors (869346050).

1005506050 is a wasteful number, since it uses less digits than its factorization.

1005506050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49590 (or 49585 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 1005506050 is about 31709.7153881898. The cubic root of 1005506050 is about 1001.8319917567.

The spelling of 1005506050 in words is "one billion, five million, five hundred six thousand, fifty".