1006214350572 has 18 divisors (see below), whose sum is σ = 2543486275148. Its totient is φ = 335404783512.

The previous prime is 1006214350523. The next prime is 1006214350573. The reversal of 1006214350572 is 2750534126001.

1006214350572 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 2 + 143 + 505 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 27950398627 = 1006214350572 / (1 + 0 + 0 + 6 + 2 + 1 + 4 + 3 + 5 + 0 + 5 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (1006214350573) 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 5 ways as a sum of consecutive naturals, for example, 13975199278 + ... + 13975199349.

Almost surely, 2^{1006214350572} is an apocalyptic number.

1006214350572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006214350572 is an abundant number, since it is smaller than the sum of its proper divisors (1537271924576).

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

1006214350572 is a wasteful number, since it uses less digits than its factorization.

1006214350572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27950398637 (or 27950398632 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 1006214350572 its reverse (2750534126001), we get a palindrome (3756748476573).

The spelling of 1006214350572 in words is "one trillion, six billion, two hundred fourteen million, three hundred fifty thousand, five hundred seventy-two".