1163582903025 has 45 divisors (see below), whose sum is σ = 2155447681563. Its totient is φ = 620551659600.

The previous prime is 1163582903003. The next prime is 1163582903027. The reversal of 1163582903025 is 5203092853611.

The square root of 1163582903025 is 1078695.

It is a perfect power (a square), and thus also a powerful number.

1163582903025 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 58 + 290 + 302 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 418889845089 + 744693057936 = 647217^2 + 862956^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 1163582903025 - 2⁷ = 1163582902897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1163582903027) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48529290 + ... + 48553260.

Almost surely, 2^{1163582903025} is an apocalyptic number.

1163582903025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1163582903025 is the 1078695-th square number.

1163582903025 is the 539348-th centered octagonal number.

It is an amenable number.

1163582903025 is a deficient number, since it is larger than the sum of its proper divisors (991864778538).

1163582903025 is an frugal number, since it uses more digits than its factorization.

1163582903025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47964 (or 23979 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1163582903025 in words is "one trillion, one hundred sixty-three billion, five hundred eighty-two million, nine hundred three thousand, twenty-five".