1153201056 has 96 divisors (see below), whose sum is σ = 3479293440. Its totient is φ = 327611136.

The previous prime is 1153201033. The next prime is 1153201061. The reversal of 1153201056 is 6501023511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115495 + ... + 125081.

It is an arithmetic number, because the mean of its divisors is an integer number (36242640).

Almost surely, 2^1153201056 is an apocalyptic number.

1153201056 is a gapful number since it is divisible by the number (16) 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 1153201056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739646720).

1153201056 is an abundant number, since it is smaller than the sum of its proper divisors (2326092384).

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

1153201056 is a wasteful number, since it uses less digits than its factorization.

1153201056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9786 (or 9778 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1153201056 is about 33958.8141135700. The cubic root of 1153201056 is about 1048.6607433214.

Adding to 1153201056 its reverse (6501023511), we get a palindrome (7654224567).

The spelling of 1153201056 in words is "one billion, one hundred fifty-three million, two hundred one thousand, fifty-six".