1153305040 has 40 divisors (see below), whose sum is σ = 2725403688. Its totient is φ = 453757440.

The previous prime is 1153305017. The next prime is 1153305061. The reversal of 1153305040 is 405033511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5721664 + 1147583376 = 2392^2 + 33876^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1153305040² = 2660225030578803200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113287 + ... + 123046.

Almost surely, 2^1153305040 is an apocalyptic number.

1153305040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1153305040 is an abundant number, since it is smaller than the sum of its proper divisors (1572098648).

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

1153305040 is a wasteful number, since it uses less digits than its factorization.

1153305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236407 (or 236401 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1153305040 is about 33960.3451101428. The cubic root of 1153305040 is about 1048.6922615783.

Adding to 1153305040 its reverse (405033511), we get a palindrome (1558338551).

The spelling of 1153305040 in words is "one billion, one hundred fifty-three million, three hundred five thousand, forty".