4601025 has 81 divisors (see below), whose sum is σ = 9808617. Its totient is φ = 2059200.

The previous prime is 4601011. The next prime is 4601029. The reversal of 4601025 is 5201064.

4601025 = 1³ + 2³ + ... + 65³.

It is a happy number.

The square root of 4601025 is 2145.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1185921 + 3415104 = 1089^2 + 1848^2 .

It is not a de Polignac number, because 4601025 - 2⁵ = 4600993 is a prime.

It is a Curzon number.

4601025 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4600989 and 4601007.

It is not an unprimeable number, because it can be changed into a prime (4601029) 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, 353919 + ... + 353931.

Almost surely, 2^4601025 is an apocalyptic number.

4601025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4601025 is the 2145-th square number.

4601025 is the 1073-rd centered octagonal number.

It is an amenable number.

4601025 is an abundant number, since it is smaller than the sum of its proper divisors (5207592).

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

4601025 is a wasteful number, since it uses less digits than its factorization.

4601025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The cubic root of 4601025 is about 166.3227017282.

Adding to 4601025 its reverse (5201064), we get a palindrome (9802089).

It can be divided in two parts, 460 and 1025, that added together give a triangular number (1485 = T₅₄).

The spelling of 4601025 in words is "four million, six hundred one thousand, twenty-five".