1009874250 has 512 divisors, whose sum is σ = 3666124800. Its totient is φ = 199584000.

The previous prime is 1009874207. The next prime is 1009874269. The reversal of 1009874250 is 524789001.

1009874250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15072717 + ... + 15072783.

It is an arithmetic number, because the mean of its divisors is an integer number (7160400).

Almost surely, 2^1009874250 is an apocalyptic number.

1009874250 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 1009874250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833062400).

1009874250 is an abundant number, since it is smaller than the sum of its proper divisors (2656250550).

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

1009874250 is a wasteful number, since it uses less digits than its factorization.

1009874250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1009874250 is about 31778.5186879439. The cubic root of 1009874250 is about 1003.2806422834.

It can be divided in two parts, 10098 and 74250, that added together give a palindrome (84348).

The spelling of 1009874250 in words is "one billion, nine million, eight hundred seventy-four thousand, two hundred fifty".