1009810152 has 120 divisors (see below), whose sum is σ = 3063041190. Its totient is φ = 310677120.

The previous prime is 1009810127. The next prime is 1009810159. The reversal of 1009810152 is 2510189001.

1009810152 = 98³ + 99³ + ... + 253³.

1009810152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 745617636 + 264192516 = 27306^2 + 16254^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1009810159) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 104902 + ... + 114122.

Almost surely, 2^1009810152 is an apocalyptic number.

1009810152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009810152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531520595).

1009810152 is an abundant number, since it is smaller than the sum of its proper divisors (2053231038).

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

1009810152 is a wasteful number, since it uses less digits than its factorization.

1009810152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9265 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 1009810152 is about 31777.5101604893. The cubic root of 1009810152 is about 1003.2594153359.

Adding to 1009810152 its reverse (2510189001), we get a palindrome (3519999153).

The spelling of 1009810152 in words is "one billion, nine million, eight hundred ten thousand, one hundred fifty-two".