1002612107952 has 320 divisors, whose sum is σ = 3608829020160. Its totient is φ = 259435478016.

The previous prime is 1002612107921. The next prime is 1002612107969. The reversal of 1002612107952 is 2597012162001.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1842933 + ... + 2324139.

It is an arithmetic number, because the mean of its divisors is an integer number (11277590688).

Almost surely, 2^{1002612107952} is an apocalyptic number.

1002612107952 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 1002612107952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804414510080).

1002612107952 is an abundant number, since it is smaller than the sum of its proper divisors (2606216912208).

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

1002612107952 is a wasteful number, since it uses less digits than its factorization.

1002612107952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481297 (or 481285 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 1002612107952 its reverse (2597012162001), we get a palindrome (3599624269953).

The spelling of 1002612107952 in words is "one trillion, two billion, six hundred twelve million, one hundred seven thousand, nine hundred fifty-two".