38973102125 has 8 divisors (see below), whose sum is σ = 48638431608. Its totient is φ = 31178481600.

The previous prime is 38973102109. The next prime is 38973102137. The reversal of 38973102125 is 52120137983.

It can be written as a sum of positive squares in 4 ways, for example, as 2837373289 + 36135728836 = 53267^2 + 190094^2 .

It is not a de Polignac number, because 38973102125 - 2⁴ = 38973102109 is a prime.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 155892284 + ... + 155892533.

It is an arithmetic number, because the mean of its divisors is an integer number (6079803951).

Almost surely, 2^38973102125 is an apocalyptic number.

It is an amenable number.

38973102125 is a deficient number, since it is larger than the sum of its proper divisors (9665329483).

38973102125 is an equidigital number, since it uses as much as digits as its factorization.

38973102125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311784832 (or 311784822 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 38973102125 in words is "thirty-eight billion, nine hundred seventy-three million, one hundred two thousand, one hundred twenty-five".