3975027100009 has 27 divisors (see below), whose sum is σ = 4645556976573. Its totient is φ = 3391363647000.

The previous prime is 3975027100003. The next prime is 3975027100043. The reversal of 3975027100009 is 9000017205793.

The square root of 3975027100009 is 1993747.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 3975027100009 - 2³ = 3975027100001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3975027100001) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 3782137534 + ... + 3782138584.

It is an arithmetic number, because the mean of its divisors is an integer number (172057665799).

Almost surely, 2^{3975027100009} is an apocalyptic number.

3975027100009 is the 1993747-th square number.

3975027100009 is the 996874-th centered octagonal number.

It is an amenable number.

3975027100009 is a deficient number, since it is larger than the sum of its proper divisors (670529876564).

3975027100009 is an frugal number, since it uses more digits than its factorization.

3975027100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 43.

The spelling of 3975027100009 in words is "three trillion, nine hundred seventy-five billion, twenty-seven million, one hundred thousand, nine".