7825138386 has 64 divisors (see below), whose sum is σ = 17951673600. Its totient is φ = 2266038528.

The previous prime is 7825138381. The next prime is 7825138423. The reversal of 7825138386 is 6838315287.

It is a super-2 number, since 2×7825138386² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (7825138381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206635 + ... + 241553.

It is an arithmetic number, because the mean of its divisors is an integer number (280494900).

Almost surely, 2^7825138386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7825138386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8975836800).

7825138386 is an abundant number, since it is smaller than the sum of its proper divisors (10126535214).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7825138386 is a wasteful number, since it uses less digits than its factorization.

7825138386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34980 (or 34954 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 7825138386 is about 88459.8122652315. The cubic root of 7825138386 is about 1985.3207218218.

The spelling of 7825138386 in words is "seven billion, eight hundred twenty-five million, one hundred thirty-eight thousand, three hundred eighty-six".