1045201752 has 384 divisors, whose sum is σ = 3696062400. Its totient is φ = 271724544.

The previous prime is 1045201747. The next prime is 1045201757. The reversal of 1045201752 is 2571025401.

It is an interprime number because it is at equal distance from previous prime (1045201747) and next prime (1045201757).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045201757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6657258 + ... + 6657414.

Almost surely, 2^1045201752 is an apocalyptic number.

1045201752 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 1045201752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848031200).

1045201752 is an abundant number, since it is smaller than the sum of its proper divisors (2650860648).

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

1045201752 is a wasteful number, since it uses less digits than its factorization.

1045201752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 1045201752 is about 32329.5801395564. The cubic root of 1045201752 is about 1014.8457633256.

The spelling of 1045201752 in words is "one billion, forty-five million, two hundred one thousand, seven hundred fifty-two".