4007631265013 has 8 divisors (see below), whose sum is σ = 4244184643032. Its totient is φ = 3771167927296.

The previous prime is 4007631265009. The next prime is 4007631265031. The reversal of 4007631265013 is 3105621367004.

4007631265013 is digitally balanced in base 2, 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 4 ways, for example, as 2924914016644 + 1082717248369 = 1710238^2 + 1040537^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4007631265013 - 2² = 4007631265009 is a prime.

It is a super-2 number, since 2×4007631265013² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007631265063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22418420 + ... + 22596477.

It is an arithmetic number, because the mean of its divisors is an integer number (530523080379).

Almost surely, 2^{4007631265013} is an apocalyptic number.

It is an amenable number.

4007631265013 is a deficient number, since it is larger than the sum of its proper divisors (236553378019).

4007631265013 is a wasteful number, since it uses less digits than its factorization.

4007631265013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45020151.

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 4007631265013 in words is "four trillion, seven billion, six hundred thirty-one million, two hundred sixty-five thousand, thirteen".