1045735552 has 64 divisors (see below), whose sum is σ = 2220623640. Its totient is φ = 488816640.

The previous prime is 1045735543. The next prime is 1045735553. The reversal of 1045735552 is 2555375401.

It can be written as a sum of positive squares in 4 ways, for example, as 1040965696 + 4769856 = 32264^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1045735553) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340102 + ... + 343162.

Almost surely, 2^1045735552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045735552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110311820).

1045735552 is an abundant number, since it is smaller than the sum of its proper divisors (1174888088).

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

1045735552 is a wasteful number, since it uses less digits than its factorization.

1045735552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 37.

The square root of 1045735552 is about 32337.8346832313. The cubic root of 1045735552 is about 1015.0184995051.

The spelling of 1045735552 in words is "one billion, forty-five million, seven hundred thirty-five thousand, five hundred fifty-two".