10001511143052 has 288 divisors, whose sum is σ = 29213607951360. Its totient is φ = 2635266816000.

The previous prime is 10001511143051. The next prime is 10001511143077. The reversal of 10001511143052 is 25034111510001.

It is not an unprimeable number, because it can be changed into a prime (10001511143051) 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 95 ways as a sum of consecutive naturals, for example, 26335677 + ... + 26712747.

It is an arithmetic number, because the mean of its divisors is an integer number (101436138720).

Almost surely, 2^{10001511143052} is an apocalyptic number.

10001511143052 is a gapful number since it is divisible by the number (12) 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 10001511143052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14606803975680).

10001511143052 is an abundant number, since it is smaller than the sum of its proper divisors (19212096808308).

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

10001511143052 is a wasteful number, since it uses less digits than its factorization.

10001511143052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377185 (or 377170 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 10001511143052 its reverse (25034111510001), we get a palindrome (35035622653053).

The spelling of 10001511143052 in words is "ten trillion, one billion, five hundred eleven million, one hundred forty-three thousand, fifty-two".