12740765625 has 189 divisors, whose sum is σ = 27396387603. Its totient is φ = 5688900000.

The previous prime is 12740765623. The next prime is 12740765657. The reversal of 12740765625 is 52656704721.

The square root of 12740765625 is 112875.

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

12740765625 is a `hidden beast` number, since 12 + 7 + 4 + 0 + 7 + 6 + 5 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11162133801 + 1578631824 = 105651^2 + 39732^2 .

It is not a de Polignac number, because 12740765625 - 2¹ = 12740765623 is a prime.

It is a super-2 number, since 2×12740765625² (a number of 21 digits) contains 22 as substring.

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 (12740765623) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 296296854 + ... + 296296896.

Almost surely, 2^12740765625 is an apocalyptic number.

12740765625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12740765625 is the 112875-th square number.

12740765625 is the 56438-th centered octagonal number.

It is an amenable number.

12740765625 is an abundant number, since it is smaller than the sum of its proper divisors (14655621978).

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

12740765625 is an frugal number, since it uses more digits than its factorization.

12740765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 12740765625 in words is "twelve billion, seven hundred forty million, seven hundred sixty-five thousand, six hundred twenty-five".