1950001152 has 288 divisors, whose sum is σ = 5943057120. Its totient is φ = 567705600.

The previous prime is 1950001037. The next prime is 1950001187. The reversal of 1950001152 is 2511000591.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31967202 + ... + 31967262.

It is an arithmetic number, because the mean of its divisors is an integer number (20635615).

Almost surely, 2^1950001152 is an apocalyptic number.

1950001152 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 1950001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971528560).

1950001152 is an abundant number, since it is smaller than the sum of its proper divisors (3993055968).

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

1950001152 is a wasteful number, since it uses less digits than its factorization.

1950001152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 24.

The square root of 1950001152 is about 44158.8173754687. The cubic root of 1950001152 is about 1249.3332234838. Note that the first 3 decimals are identical.

The spelling of 1950001152 in words is "one billion, nine hundred fifty million, one thousand, one hundred fifty-two".