1006813580850 has 288 divisors, whose sum is σ = 3444192700416. Its totient is φ = 204756451200.

The previous prime is 1006813580837. The next prime is 1006813580863. The reversal of 1006813580850 is 580853186001.

1006813580850 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 8 + 13 + 580 + 8 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (1006813580837) and next prime (1006813580863).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1006813580796 and 1006813580805.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1319437 + ... + 1937663.

It is an arithmetic number, because the mean of its divisors is an integer number (11959002432).

Almost surely, 2^{1006813580850} is an apocalyptic number.

1006813580850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006813580850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722096350208).

1006813580850 is an abundant number, since it is smaller than the sum of its proper divisors (2437379119566).

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

1006813580850 is a wasteful number, since it uses less digits than its factorization.

1006813580850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618310 (or 618302 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 1006813580850 in words is "one trillion, six billion, eight hundred thirteen million, five hundred eighty thousand, eight hundred fifty".