47971950625 has 15 divisors (see below), whose sum is σ = 59952592623. Its totient is φ = 38373180000.

The previous prime is 47971950623. The next prime is 47971950629. The reversal of 47971950625 is 52605917974.

It is a happy number.

The square root of 47971950625 is 219025.

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 47971074529 + 876096 = 219023^2 + 936^2 .

It is not a de Polignac number, because 47971950625 - 2¹ = 47971950623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47971950623) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5471245 + ... + 5480005.

Almost surely, 2^47971950625 is an apocalyptic number.

47971950625 is the 219025-th square number.

47971950625 is the 109513-rd centered octagonal number.

It is an amenable number.

47971950625 is a deficient number, since it is larger than the sum of its proper divisors (11980641998).

47971950625 is an frugal number, since it uses more digits than its factorization.

47971950625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17542 (or 8766 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 55.

The spelling of 47971950625 in words is "forty-seven billion, nine hundred seventy-one million, nine hundred fifty thousand, six hundred twenty-five".