1033345152 has 192 divisors, whose sum is σ = 3428505600. Its totient is φ = 292626432.

The previous prime is 1033345067. The next prime is 1033345177. The reversal of 1033345152 is 2515433301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1023624 + ... + 1024632.

It is an arithmetic number, because the mean of its divisors is an integer number (17856800).

Almost surely, 2^1033345152 is an apocalyptic number.

1033345152 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 1033345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714252800).

1033345152 is an abundant number, since it is smaller than the sum of its proper divisors (2395160448).

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

1033345152 is a wasteful number, since it uses less digits than its factorization.

1033345152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1033345152 is about 32145.6863669140. The cubic root of 1033345152 is about 1010.9937453202.

Adding to 1033345152 its reverse (2515433301), we get a palindrome (3548778453).

The spelling of 1033345152 in words is "one billion, thirty-three million, three hundred forty-five thousand, one hundred fifty-two".