4734128025 has 135 divisors (see below), whose sum is σ = 9708762063. Its totient is φ = 2278821600.

The previous prime is 4734127999. The next prime is 4734128029. The reversal of 4734128025 is 5208214374.

It is a happy number.

The square root of 4734128025 is 68805.

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

It can be written as a sum of positive squares in only one way, i.e., 1704286089 + 3029841936 = 41283^2 + 55044^2 .

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

It is not a de Polignac number, because 4734128025 - 2⁷ = 4734127897 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4734128029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 34058406 + ... + 34058544.

Almost surely, 2^4734128025 is an apocalyptic number.

4734128025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4734128025 is the 68805-th square number.

4734128025 is the 34403-rd centered octagonal number.

It is an amenable number.

4734128025 is an abundant number, since it is smaller than the sum of its proper divisors (4974634038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4734128025 is a wasteful number, since it uses less digits than its factorization.

4734128025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The cubic root of 4734128025 is about 1679.1132916417.

Multiplying 4734128025 by its sum of digits (36), we get a square (170428608900 = 412830²).

The spelling of 4734128025 in words is "four billion, seven hundred thirty-four million, one hundred twenty-eight thousand, twenty-five".