13515315000 has 320 divisors, whose sum is σ = 46573591680. Its totient is φ = 3240000000.

The previous prime is 13515314999. The next prime is 13515315007. The reversal of 13515315000 is 51351531.

13515315000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13515315007) 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 79 ways as a sum of consecutive naturals, for example, 16664595 + ... + 16665405.

It is an arithmetic number, because the mean of its divisors is an integer number (145542474).

Almost surely, 2^13515315000 is an apocalyptic number.

13515315000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13515315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23286795840).

13515315000 is an abundant number, since it is smaller than the sum of its proper divisors (33058276680).

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

13515315000 is a wasteful number, since it uses less digits than its factorization.

13515315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 24.

Adding to 13515315000 its reverse (51351531), we get a palindrome (13566666531).

It can be divided in two parts, 1351531 and 5000, that added together give a palindrome (1356531).

The spelling of 13515315000 in words is "thirteen billion, five hundred fifteen million, three hundred fifteen thousand".