7638251325825 has 48 divisors (see below), whose sum is σ = 13617462801600. Its totient is φ = 3765197030400.

The previous prime is 7638251325791. The next prime is 7638251325827. The reversal of 7638251325825 is 5285231528367.

It is a happy number.

It is not a de Polignac number, because 7638251325825 - 2⁷ = 7638251325697 is a prime.

It is a super-3 number, since 3×7638251325825³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (57) 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 (57).

It is not an unprimeable number, because it can be changed into a prime (7638251325827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65309580 + ... + 65426429.

It is an arithmetic number, because the mean of its divisors is an integer number (283697141700).

Almost surely, 2^{7638251325825} is an apocalyptic number.

7638251325825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7638251325825 is a deficient number, since it is larger than the sum of its proper divisors (5979211475775).

7638251325825 is a wasteful number, since it uses less digits than its factorization.

7638251325825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130736082 (or 130736077 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 57.

The spelling of 7638251325825 in words is "seven trillion, six hundred thirty-eight billion, two hundred fifty-one million, three hundred twenty-five thousand, eight hundred twenty-five".