125683635 has 128 divisors (see below), whose sum is σ = 274212864. Its totient is φ = 47554560.

The previous prime is 125683633. The next prime is 125683639. The reversal of 125683635 is 536386521.

It is not a de Polignac number, because 125683635 - 2¹ = 125683633 is a prime.

It is a super-2 number, since 2×125683635² = 31592752213626450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125683593 and 125683602.

It is not an unprimeable number, because it can be changed into a prime (125683633) 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 127 ways as a sum of consecutive naturals, for example, 726409 + ... + 726581.

It is an arithmetic number, because the mean of its divisors is an integer number (2142288).

Almost surely, 2^125683635 is an apocalyptic number.

125683635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

125683635 is an abundant number, since it is smaller than the sum of its proper divisors (148529229).

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

125683635 is a wasteful number, since it uses less digits than its factorization.

125683635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253.

The product of its digits is 129600, while the sum is 39.

The square root of 125683635 is about 11210.8712863898. The cubic root of 125683635 is about 500.9098566508.

The spelling of 125683635 in words is "one hundred twenty-five million, six hundred eighty-three thousand, six hundred thirty-five".