1006214625000 has 672 divisors, whose sum is σ = 3708486905760. Its totient is φ = 244987200000.

The previous prime is 1006214624983. The next prime is 1006214625007. The reversal of 1006214625000 is 5264126001.

1006214625000 is a `hidden beast` number, since 10 + 0 + 6 + 2 + 146 + 2 + 500 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006214625007) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 1564874679 + ... + 1564875321.

It is an arithmetic number, because the mean of its divisors is an integer number (5518581705).

Almost surely, 2^{1006214625000} is an apocalyptic number.

1006214625000 is a gapful number since it is divisible by the number (10) 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 1006214625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854243452880).

1006214625000 is an abundant number, since it is smaller than the sum of its proper divisors (2702272280760).

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

1006214625000 is a wasteful number, since it uses less digits than its factorization.

1006214625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 1006214625000 in words is "one trillion, six billion, two hundred fourteen million, six hundred twenty-five thousand".