4013255952 has 60 divisors (see below), whose sum is σ = 11267552764. Its totient is φ = 1333463040.

The previous prime is 4013255951. The next prime is 4013255963. The reversal of 4013255952 is 2595523104.

It is a happy number.

4013255952 is a `hidden beast` number, since 40 + 1 + 3 + 25 + 595 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47279376 + 3965976576 = 6876^2 + 62976^2 .

It is a super-2 number, since 2×4013255952² = 32212446672526852608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4013255951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552 + ... + 89592.

Almost surely, 2^4013255952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013255952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5633776382).

4013255952 is an abundant number, since it is smaller than the sum of its proper divisors (7254296812).

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

4013255952 is a wasteful number, since it uses less digits than its factorization.

4013255952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89368 (or 89359 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 4013255952 is about 63350.2640247063. The cubic root of 4013255952 is about 1589.1526611327.

The spelling of 4013255952 in words is "four billion, thirteen million, two hundred fifty-five thousand, nine hundred fifty-two".