38125081086337 has 24 divisors (see below), whose sum is σ = 44992422404352. Its totient is φ = 32205343060800.

The previous prime is 38125081086271. The next prime is 38125081086359. The reversal of 38125081086337 is 73368018052183.

It is a de Polignac number, because none of the positive numbers 2^k-38125081086337 is a prime.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38125081026337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6387912 + ... + 10819222.

It is an arithmetic number, because the mean of its divisors is an integer number (1874684266848).

Almost surely, 2^{38125081086337} is an apocalyptic number.

It is an amenable number.

38125081086337 is a deficient number, since it is larger than the sum of its proper divisors (6867341318015).

38125081086337 is a wasteful number, since it uses less digits than its factorization.

38125081086337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4433869 (or 4433862 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 38125081086337 in words is "thirty-eight trillion, one hundred twenty-five billion, eighty-one million, eighty-six thousand, three hundred thirty-seven".