5825601 has 40 divisors (see below), whose sum is σ = 9408960. Its totient is φ = 3583008.

The previous prime is 5825593. The next prime is 5825627. The reversal of 5825601 is 1065285.

5825601 is a `hidden beast` number, since 58 + 2 + 5 + 601 = 666.

It is not a de Polignac number, because 5825601 - 2³ = 5825593 is a prime.

It is a super-2 number, since 2×5825601² = 67875254022402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

5825601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5825641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98710 + ... + 98768.

It is an arithmetic number, because the mean of its divisors is an integer number (235224).

Almost surely, 2^5825601 is an apocalyptic number.

It is an amenable number.

5825601 is a deficient number, since it is larger than the sum of its proper divisors (3583359).

5825601 is a wasteful number, since it uses less digits than its factorization.

5825601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5825601 is about 2413.6281818043. The cubic root of 5825601 is about 179.9341425740.

The spelling of 5825601 in words is "five million, eight hundred twenty-five thousand, six hundred one".