215313313512 has 192 divisors, whose sum is σ = 608425332480. Its totient is φ = 63410688000.

The previous prime is 215313313507. The next prime is 215313313519.

215313313512 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 215313313512.

It is not an unprimeable number, because it can be changed into a prime (215313313519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32263008 + ... + 32269680.

It is an arithmetic number, because the mean of its divisors is an integer number (3168881940).

Almost surely, 2^215313313512 is an apocalyptic number.

215313313512 is a gapful number since it is divisible by the number (22) 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 215313313512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304212666240).

215313313512 is an abundant number, since it is smaller than the sum of its proper divisors (393112018968).

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

215313313512 is a wasteful number, since it uses less digits than its factorization.

215313313512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7016 (or 7001 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

It can be divided in two parts, 215313 and 313512, that added together give a palindrome (528825).

The spelling of 215313313512 in words is "two hundred fifteen billion, three hundred thirteen million, three hundred thirteen thousand, five hundred twelve".