3013515325040 has 160 divisors (see below), whose sum is σ = 7694695008000. Its totient is φ = 1088473282560.

The previous prime is 3013515325031. The next prime is 3013515325063. The reversal of 3013515325040 is 405235153103.

3013515325040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3013515325040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3013515324988 and 3013515325006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301075556 + ... + 301085564.

It is an arithmetic number, because the mean of its divisors is an integer number (48091843800).

Almost surely, 2^{3013515325040} 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 3013515325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847347504000).

3013515325040 is an abundant number, since it is smaller than the sum of its proper divisors (4681179682960).

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

3013515325040 is a wasteful number, since it uses less digits than its factorization.

3013515325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12295 (or 12289 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The spelling of 3013515325040 in words is "three trillion, thirteen billion, five hundred fifteen million, three hundred twenty-five thousand, forty".