1000825954216 has 64 divisors (see below), whose sum is σ = 2082410467200. Its totient is φ = 447096134400.

The previous prime is 1000825954189. The next prime is 1000825954259. The reversal of 1000825954216 is 6124595280001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6521421 + ... + 6673123.

It is an arithmetic number, because the mean of its divisors is an integer number (32537663550).

Almost surely, 2^{1000825954216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000825954216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041205233600).

1000825954216 is an abundant number, since it is smaller than the sum of its proper divisors (1081584512984).

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

1000825954216 is a wasteful number, since it uses less digits than its factorization.

1000825954216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153010 (or 153006 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 1000825954216 in words is "one trillion, eight hundred twenty-five million, nine hundred fifty-four thousand, two hundred sixteen".