125086617630 has 160 divisors (see below), whose sum is σ = 367180761024. Its totient is φ = 30368577024.

The previous prime is 125086617613. The next prime is 125086617697. The reversal of 125086617630 is 36716680521.

125086617630 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 8 + 6 + 6 + 1 + 7 + 630 = 666.

It is a super-2 number, since 2×125086617630² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 687327 + ... + 850053.

Almost surely, 2^125086617630 is an apocalyptic number.

125086617630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125086617630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183590380512).

125086617630 is an abundant number, since it is smaller than the sum of its proper divisors (242094143394).

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

125086617630 is a wasteful number, since it uses less digits than its factorization.

125086617630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162832 (or 162823 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 125086617630 in words is "one hundred twenty-five billion, eighty-six million, six hundred seventeen thousand, six hundred thirty".