47875628025 has 81 divisors (see below), whose sum is σ = 88986358669. Its totient is φ = 24604184640.

The previous prime is 47875627981. The next prime is 47875628027. The reversal of 47875628025 is 52082657874.

The square root of 47875628025 is 218805.

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

47875628025 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 5 + 628 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 658076409 + 47217551616 = 25653^2 + 217296^2 .

It is not a de Polignac number, because 47875628025 - 2¹³ = 47875619833 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47875628027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 95179924 + ... + 95180426.

Almost surely, 2^47875628025 is an apocalyptic number.

47875628025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

47875628025 is the 218805-th square number.

47875628025 is the 109403-rd centered octagonal number.

It is an amenable number.

47875628025 is a deficient number, since it is larger than the sum of its proper divisors (41110730644).

47875628025 is an equidigital number, since it uses as much as digits as its factorization.

47875628025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 47875628025 in words is "forty-seven billion, eight hundred seventy-five million, six hundred twenty-eight thousand, twenty-five".