10425754617525 has 216 divisors, whose sum is σ = 20787598180440. Its totient is φ = 4989035151360.

The previous prime is 10425754617493. The next prime is 10425754617539. The reversal of 10425754617525 is 52571645752401.

10425754617525 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 5 + 7 + 54 + 61 + 7 + 525 = 666.

It can be written as a sum of positive squares in 36 ways, for example, as 10218264346404 + 207490271121 = 3196602^2 + 455511^2 .

It is not a de Polignac number, because 10425754617525 - 2⁵ = 10425754617493 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1712224681 + ... + 1712230769.

It is an arithmetic number, because the mean of its divisors is an integer number (96238880465).

Almost surely, 2^{10425754617525} is an apocalyptic number.

10425754617525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10425754617525 is a deficient number, since it is larger than the sum of its proper divisors (10361843562915).

10425754617525 is a wasteful number, since it uses less digits than its factorization.

10425754617525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7385 (or 7364 counting only the distinct ones).

The product of its (nonzero) digits is 11760000, while the sum is 54.

The spelling of 10425754617525 in words is "ten trillion, four hundred twenty-five billion, seven hundred fifty-four million, six hundred seventeen thousand, five hundred twenty-five".