4771355625 has 75 divisors (see below), whose sum is σ = 8935731057. Its totient is φ = 2536434000.

The previous prime is 4771355597. The next prime is 4771355647. The reversal of 4771355625 is 5265531774.

It is a happy number.

The square root of 4771355625 is 69075.

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

4771355625 is a `hidden beast` number, since 4 + 7 + 7 + 13 + 5 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 374074281 + 4397281344 = 19341^2 + 66312^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 4771355625 - 2¹¹ = 4771353577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (882000) is a multiple of the sum of its prime divisors (315).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 15541722 + ... + 15542028.

Almost surely, 2^4771355625 is an apocalyptic number.

4771355625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4771355625 is the 69075-th square number.

4771355625 is the 34538-th centered octagonal number.

It is an amenable number.

4771355625 is a deficient number, since it is larger than the sum of its proper divisors (4164375432).

4771355625 is an frugal number, since it uses more digits than its factorization.

4771355625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 315 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The cubic root of 4771355625 is about 1683.5031334340.

The spelling of 4771355625 in words is "four billion, seven hundred seventy-one million, three hundred fifty-five thousand, six hundred twenty-five".