5406671300625 has 405 divisors, whose sum is σ = 11736293472189. Its totient is φ = 2390703336000.

The previous prime is 5406671300549. The next prime is 5406671300627. The reversal of 5406671300625 is 5260031766045.

The square root of 5406671300625 is 2325225.

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

5406671300625 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 6 + 7 + 13 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 423883029969 + 4982788270656 = 651063^2 + 2232216^2 .

It is not a de Polignac number, because 5406671300625 - 2²³ = 5406662912017 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 (5406671300627) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 52491954324 + ... + 52491954426.

Almost surely, 2^{5406671300625} is an apocalyptic number.

5406671300625 is the 2325225-th square number.

5406671300625 is the 1162613-rd centered octagonal number.

It is an amenable number.

5406671300625 is an abundant number, since it is smaller than the sum of its proper divisors (6329622171564).

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

5406671300625 is an equidigital number, since it uses as much as digits as its factorization.

5406671300625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 5406671300625 in words is "five trillion, four hundred six billion, six hundred seventy-one million, three hundred thousand, six hundred twenty-five".