47609058025 has 45 divisors (see below), whose sum is σ = 63143037363. Its totient is φ = 35609424000.

The previous prime is 47609057983. The next prime is 47609058031. The reversal of 47609058025 is 52085090674.

The square root of 47609058025 is 218195.

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

47609058025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 5187888729 + 42421169296 = 72027^2 + 205964^2 .

It is not a de Polignac number, because 47609058025 - 2⁹ = 47609057513 is a prime.

It is a super-3 number, since 3×47609058025³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 315291700 + ... + 315291850.

Almost surely, 2^47609058025 is an apocalyptic number.

47609058025 is the 218195-th square number.

47609058025 is the 109098-th centered octagonal number.

It is an amenable number.

47609058025 is a deficient number, since it is larger than the sum of its proper divisors (15533979338).

47609058025 is an frugal number, since it uses more digits than its factorization.

47609058025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 47609058025 in words is "forty-seven billion, six hundred nine million, fifty-eight thousand, twenty-five".