1006101765652 has 48 divisors (see below), whose sum is σ = 1894025056000. Its totient is φ = 466224729984.

The previous prime is 1006101765631. The next prime is 1006101765673. The reversal of 1006101765652 is 2565671016001.

It is an interprime number because it is at equal distance from previous prime (1006101765631) and next prime (1006101765673).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114243 + ... + 1423114.

Almost surely, 2^{1006101765652} is an apocalyptic number.

It is an amenable number.

1006101765652 is a deficient number, since it is larger than the sum of its proper divisors (887923290348).

1006101765652 is a wasteful number, since it uses less digits than its factorization.

1006101765652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537568 (or 1537566 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 1006101765652 in words is "one trillion, six billion, one hundred one million, seven hundred sixty-five thousand, six hundred fifty-two".