38135612825 has 24 divisors (see below), whose sum is σ = 47797487640. Its totient is φ = 30180416000.

The previous prime is 38135612819. The next prime is 38135612849. The reversal of 38135612825 is 52821653183.

It can be written as a sum of positive squares in 12 ways, for example, as 6731874304 + 31403738521 = 82048^2 + 177211^2 .

It is not a de Polignac number, because 38135612825 - 2¹⁸ = 38135350681 is a prime.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3248867 + ... + 3260583.

It is an arithmetic number, because the mean of its divisors is an integer number (1991561985).

Almost surely, 2^38135612825 is an apocalyptic number.

It is an amenable number.

38135612825 is a deficient number, since it is larger than the sum of its proper divisors (9661874815).

38135612825 is a wasteful number, since it uses less digits than its factorization.

38135612825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13117 (or 13112 counting only the distinct ones).

The product of its digits is 345600, while the sum is 44.

The spelling of 38135612825 in words is "thirty-eight billion, one hundred thirty-five million, six hundred twelve thousand, eight hundred twenty-five".