47752729812225 has 45 divisors (see below), whose sum is σ = 88455138747283. Its totient is φ = 25467956718480.

The previous prime is 47752729812191. The next prime is 47752729812233. The reversal of 47752729812225 is 52221892725774.

It is a happy number.

The square root of 47752729812225 is 6910335.

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

47752729812225 is a `hidden beast` number, since 4 + 7 + 7 + 527 + 2 + 9 + 81 + 2 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17190982732401 + 30561747079824 = 4146201^2 + 5528268^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 47752729812225 - 2⁹ = 47752729811713 is a prime.

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, 310888294 + ... + 311041856.

Almost surely, 2^{47752729812225} is an apocalyptic number.

47752729812225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

47752729812225 is the 6910335-th square number.

47752729812225 is the 3455168-th centered octagonal number.

It is an amenable number.

47752729812225 is a deficient number, since it is larger than the sum of its proper divisors (40702408935058).

47752729812225 is an frugal number, since it uses more digits than its factorization.

47752729812225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307148 (or 153571 counting only the distinct ones).

The product of its digits is 79027200, while the sum is 63.

The spelling of 47752729812225 in words is "forty-seven trillion, seven hundred fifty-two billion, seven hundred twenty-nine million, eight hundred twelve thousand, two hundred twenty-five".