47709480625 has 15 divisors (see below), whose sum is σ = 59624591367. Its totient is φ = 38163216000.

The previous prime is 47709480619. The next prime is 47709480649. The reversal of 47709480625 is 52608490774.

The square root of 47709480625 is 218425.

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

It can be written as a sum of positive squares in 7 ways, for example, as 41183425969 + 6526054656 = 202937^2 + 80784^2 .

It is a de Polignac number, because none of the positive numbers 2^k-47709480625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5456257 + ... + 5464993.

Almost surely, 2^47709480625 is an apocalyptic number.

47709480625 is the 218425-th square number.

47709480625 is the 109213-rd centered octagonal number.

It is an amenable number.

47709480625 is a deficient number, since it is larger than the sum of its proper divisors (11915110742).

47709480625 is an frugal number, since it uses more digits than its factorization.

47709480625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17494 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 47709480625 in words is "forty-seven billion, seven hundred nine million, four hundred eighty thousand, six hundred twenty-five".