10217620125 has 64 divisors (see below), whose sum is σ = 18924721920. Its totient is φ = 5439744000.

The previous prime is 10217620123. The next prime is 10217620129. The reversal of 10217620125 is 52102671201.

10217620125 is a `hidden beast` number, since 1 + 0 + 2 + 17 + 620 + 1 + 25 = 666.

It is not a de Polignac number, because 10217620125 - 2¹ = 10217620123 is a prime.

It is a super-2 number, since 2×10217620125² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217620123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2161014 + ... + 2165736.

It is an arithmetic number, because the mean of its divisors is an integer number (295698780).

Almost surely, 2^10217620125 is an apocalyptic number.

10217620125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10217620125 is a deficient number, since it is larger than the sum of its proper divisors (8707101795).

10217620125 is an equidigital number, since it uses as much as digits as its factorization.

10217620125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5388 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10217620125 in words is "ten billion, two hundred seventeen million, six hundred twenty thousand, one hundred twenty-five".