4152534352512 has 512 divisors, whose sum is σ = 13997871982080. Its totient is φ = 1061343461376.

The previous prime is 4152534352507. The next prime is 4152534352541. The reversal of 4152534352512 is 2152534352514.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 332276248 + ... + 332288744.

It is an arithmetic number, because the mean of its divisors is an integer number (27339593715).

Almost surely, 2^{4152534352512} is an apocalyptic number.

4152534352512 is a gapful number since it is divisible by the number (42) 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 4152534352512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6998935991040).

4152534352512 is an abundant number, since it is smaller than the sum of its proper divisors (9845337629568).

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

4152534352512 is a wasteful number, since it uses less digits than its factorization.

4152534352512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12828 (or 12816 counting only the distinct ones).

The product of its digits is 720000, while the sum is 42.

The spelling of 4152534352512 in words is "four trillion, one hundred fifty-two billion, five hundred thirty-four million, three hundred fifty-two thousand, five hundred twelve".