1006613661952 has 72 divisors (see below), whose sum is σ = 2052740471040. Its totient is φ = 492537077760.

The previous prime is 1006613661931. The next prime is 1006613661953. The reversal of 1006613661952 is 2591663166001.

It is not an unprimeable number, because it can be changed into a prime (1006613661953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2065077 + ... + 2505547.

It is an arithmetic number, because the mean of its divisors is an integer number (28510284320).

Almost surely, 2^{1006613661952} 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 1006613661952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026370235520).

1006613661952 is an abundant number, since it is smaller than the sum of its proper divisors (1046126809088).

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

1006613661952 is an equidigital number, since it uses as much as digits as its factorization.

1006613661952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440679 (or 440665 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 1006613661952 in words is "one trillion, six billion, six hundred thirteen million, six hundred sixty-one thousand, nine hundred fifty-two".