1005972550 has 24 divisors (see below), whose sum is σ = 2041210872. Its totient is φ = 365808000.

The previous prime is 1005972509. The next prime is 1005972563. The reversal of 1005972550 is 552795001.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 913971 + ... + 915070.

It is an arithmetic number, because the mean of its divisors is an integer number (85050453).

Almost surely, 2^1005972550 is an apocalyptic number.

1005972550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005972550 is an abundant number, since it is smaller than the sum of its proper divisors (1035238322).

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

1005972550 is a wasteful number, since it uses less digits than its factorization.

1005972550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829064 (or 1829059 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 34.

The square root of 1005972550 is about 31717.0703249843. The cubic root of 1005972550 is about 1001.9868996153.

The spelling of 1005972550 in words is "one billion, five million, nine hundred seventy-two thousand, five hundred fifty".