4007084825 has 12 divisors (see below), whose sum is σ = 5024617020. Its totient is φ = 3169647360.

The previous prime is 4007084821. The next prime is 4007084827. The reversal of 4007084825 is 5284807004.

It can be written as a sum of positive squares in 6 ways, for example, as 24970009 + 3982114816 = 4997^2 + 63104^2 .

It is not a de Polignac number, because 4007084825 - 2² = 4007084821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4007084821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 898244 + ... + 902693.

It is an arithmetic number, because the mean of its divisors is an integer number (418718085).

Almost surely, 2^4007084825 is an apocalyptic number.

It is an amenable number.

4007084825 is a deficient number, since it is larger than the sum of its proper divisors (1017532195).

4007084825 is a wasteful number, since it uses less digits than its factorization.

4007084825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801036 (or 1801031 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 4007084825 is about 63301.5388833479. The cubic root of 4007084825 is about 1588.3377040725.

The spelling of 4007084825 in words is "four billion, seven million, eighty-four thousand, eight hundred twenty-five".