2152150512512 has 384 divisors, whose sum is σ = 5819742371520. Its totient is φ = 771398369280.

The previous prime is 2152150512493. The next prime is 2152150512563.

2152150512512 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446779928 + ... + 446784744.

Almost surely, 2^{2152150512512} is an apocalyptic number.

2152150512512 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 2152150512512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909871185760).

2152150512512 is an abundant number, since it is smaller than the sum of its proper divisors (3667591859008).

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

2152150512512 is a wasteful number, since it uses less digits than its factorization.

2152150512512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190 (or 5167 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 32.

It can be divided in two parts, 2152150 and 512512, that added together give a palindrome (2664662).

The spelling of 2152150512512 in words is "two trillion, one hundred fifty-two billion, one hundred fifty million, five hundred twelve thousand, five hundred twelve".