1005515550 has 144 divisors (see below), whose sum is σ = 3010119840. Its totient is φ = 238936320.

The previous prime is 1005515527. The next prime is 1005515557. The reversal of 1005515550 is 555155001.

1005515550 is a `hidden beast` number, since 10 + 0 + 551 + 55 + 50 = 666.

It is a super-2 number, since 2×1005515550² = 2022123042583605000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005515557) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 166687 + ... + 172613.

It is an arithmetic number, because the mean of its divisors is an integer number (20903610).

Almost surely, 2^1005515550 is an apocalyptic number.

1005515550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005515550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505059920).

1005515550 is an abundant number, since it is smaller than the sum of its proper divisors (2004604290).

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

1005515550 is a wasteful number, since it uses less digits than its factorization.

1005515550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5979 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The square root of 1005515550 is about 31709.8651841978. The cubic root of 1005515550 is about 1001.8351468426.

The spelling of 1005515550 in words is "one billion, five million, five hundred fifteen thousand, five hundred fifty".