12883385025 has 243 divisors, whose sum is σ = 28670587491. Its totient is φ = 5513618880.

The previous prime is 12883385003. The next prime is 12883385033. The reversal of 12883385025 is 52058338821.

The square root of 12883385025 is 113505.

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

It can be written as a sum of positive squares in only one way, i.e., 4638018609 + 8245366416 = 68103^2 + 90804^2 .

It is not a de Polignac number, because 12883385025 - 2⁹ = 12883384513 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 274114552 + ... + 274114598.

Almost surely, 2^12883385025 is an apocalyptic number.

12883385025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12883385025 is the 113505-th square number.

12883385025 is the 56753-rd centered octagonal number.

It is an amenable number.

12883385025 is an abundant number, since it is smaller than the sum of its proper divisors (15787202466).

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

12883385025 is a wasteful number, since it uses less digits than its factorization.

12883385025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 12883385025 in words is "twelve billion, eight hundred eighty-three million, three hundred eighty-five thousand, twenty-five".