10005725612325 has 48 divisors (see below), whose sum is σ = 16574971276800. Its totient is φ = 5326017708480.

The previous prime is 10005725612273. The next prime is 10005725612327. The reversal of 10005725612325 is 52321652750001.

It is not a de Polignac number, because 10005725612325 - 2²³ = 10005717223717 is a prime.

It is a super-2 number, since 2×10005725612325² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005725612327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94623934 + ... + 94729616.

It is an arithmetic number, because the mean of its divisors is an integer number (345311901600).

Almost surely, 2^{10005725612325} is an apocalyptic number.

10005725612325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10005725612325 is a deficient number, since it is larger than the sum of its proper divisors (6569245664475).

10005725612325 is a wasteful number, since it uses less digits than its factorization.

10005725612325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108138 (or 108133 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 10005725612325 in words is "ten trillion, five billion, seven hundred twenty-five million, six hundred twelve thousand, three hundred twenty-five".