1009820250 has 64 divisors (see below), whose sum is σ = 2800586880. Its totient is φ = 269283600.

The previous prime is 1009820249. The next prime is 1009820309. The reversal of 1009820250 is 520289001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68052 + ... + 81551.

It is an arithmetic number, because the mean of its divisors is an integer number (43759170).

Almost surely, 2^1009820250 is an apocalyptic number.

1009820250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1009820250 is an abundant number, since it is smaller than the sum of its proper divisors (1790766630).

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

1009820250 is a wasteful number, since it uses less digits than its factorization.

1009820250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149629 (or 149613 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1009820250 is about 31777.6690460455. The cubic root of 1009820250 is about 1003.2627594892.

The spelling of 1009820250 in words is "one billion, nine million, eight hundred twenty thousand, two hundred fifty".