10012006601625 has 128 divisors (see below), whose sum is σ = 20049161932800. Its totient is φ = 4334494809600.

The previous prime is 10012006601599. The next prime is 10012006601657. The reversal of 10012006601625 is 52610660021001.

It is not a de Polignac number, because 10012006601625 - 2⁵ = 10012006601593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012006601592 and 10012006601601.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 147246886 + ... + 147314864.

It is an arithmetic number, because the mean of its divisors is an integer number (156634077600).

Almost surely, 2^{10012006601625} is an apocalyptic number.

10012006601625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10012006601625 is an abundant number, since it is smaller than the sum of its proper divisors (10037155331175).

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

10012006601625 is a wasteful number, since it uses less digits than its factorization.

10012006601625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70976 (or 70966 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 10012006601625 its reverse (52610660021001), we get a palindrome (62622666622626).

The spelling of 10012006601625 in words is "ten trillion, twelve billion, six million, six hundred one thousand, six hundred twenty-five".