4087613952 has 60 divisors (see below), whose sum is σ = 11797143930. Its totient is φ = 1362536448.

The previous prime is 4087613947. The next prime is 4087613953. The reversal of 4087613952 is 2593167804.

4087613952 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2411202816 + 1676411136 = 49104^2 + 40944^2 .

4087613952 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4087613898 and 4087613907.

It is not an unprimeable number, because it can be changed into a prime (4087613953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 438927 + ... + 448142.

It is a 1-persistent number, because it is pandigital, but 2⋅4087613952 = 8175227904 is not.

Almost surely, 2^4087613952 is an apocalyptic number.

It is an amenable number.

4087613952 is an abundant number, since it is smaller than the sum of its proper divisors (7709529978).

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

4087613952 is an equidigital number, since it uses as much as digits as its factorization.

4087613952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887093 (or 887074 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4087613952 is about 63934.4504316726. The cubic root of 4087613952 is about 1598.9073206189.

The spelling of 4087613952 in words is "four billion, eighty-seven million, six hundred thirteen thousand, nine hundred fifty-two".