4834083809025 has 45 divisors (see below), whose sum is σ = 8954577529491. Its totient is φ = 2578125263760.

The previous prime is 4834083809011. The next prime is 4834083809063. The reversal of 4834083809025 is 5209083804384.

The square root of 4834083809025 is 2198655.

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

4834083809025 is a `hidden beast` number, since 48 + 340 + 83 + 80 + 90 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1740270171249 + 3093813637776 = 1319193^2 + 1758924^2 .

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

It is not a de Polignac number, because 4834083809025 - 2⁵ = 4834083808993 is a prime.

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, 98915046 + ... + 98963904.

Almost surely, 2^{4834083809025} is an apocalyptic number.

4834083809025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4834083809025 is the 2198655-th square number.

4834083809025 is the 1099328-th centered octagonal number.

It is an amenable number.

4834083809025 is a deficient number, since it is larger than the sum of its proper divisors (4120493720466).

4834083809025 is an frugal number, since it uses more digits than its factorization.

4834083809025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97740 (or 48867 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4834083809025 in words is "four trillion, eight hundred thirty-four billion, eighty-three million, eight hundred nine thousand, twenty-five".