1051753248 has 450 divisors, whose sum is σ = 3907420209. Its totient is φ = 277385472.

The previous prime is 1051753217. The next prime is 1051753271. The reversal of 1051753248 is 8423571501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1051753248 is a `hidden beast` number, since 105 + 17 + 532 + 4 + 8 = 666.

1051753248 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 2 ways, for example, as 899280144 + 152473104 = 29988^2 + 12348^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=22932.

It is a super-2 number, since 2×1051753248² = 2212369789357099008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 80904090 + ... + 80904102.

Almost surely, 2^1051753248 is an apocalyptic number.

1051753248 is a gapful number since it is divisible by the number (18) 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 1051753248

1051753248 is an abundant number, since it is smaller than the sum of its proper divisors (2855666961).

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

1051753248 is an frugal number, since it uses more digits than its factorization.

1051753248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1051753248 is about 32430.7454123398. The cubic root of 1051753248 is about 1016.9617548987.

The spelling of 1051753248 in words is "one billion, fifty-one million, seven hundred fifty-three thousand, two hundred forty-eight".