47372867012025 has 135 divisors (see below), whose sum is σ = 89864367383901. Its totient is φ = 24671020772160.

The previous prime is 47372867011903. The next prime is 47372867012077. The reversal of 47372867012025 is 52021076827374.

It is a happy number.

The square root of 47372867012025 is 6882795.

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

47372867012025 is a `hidden beast` number, since 4 + 7 + 372 + 8 + 67 + 0 + 1 + 202 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13782589425081 + 33590277586944 = 3712491^2 + 5795712^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 47372867012025 - 2²³ = 47372858623417 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13318206547 + ... + 13318210103.

Almost surely, 2^{47372867012025} is an apocalyptic number.

47372867012025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

47372867012025 is the 6882795-th square number.

47372867012025 is the 3441398-th centered octagonal number.

It is an amenable number.

47372867012025 is a deficient number, since it is larger than the sum of its proper divisors (42491500371876).

47372867012025 is an frugal number, since it uses more digits than its factorization.

47372867012025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7222 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 47372867012025 in words is "forty-seven trillion, three hundred seventy-two billion, eight hundred sixty-seven million, twelve thousand, twenty-five".