126825601 has 16 divisors (see below), whose sum is σ = 147616384. Its totient is φ = 106717824.

The previous prime is 126825547. The next prime is 126825607. The reversal of 126825601 is 106528621.

It is a de Polignac number, because none of the positive numbers 2^k-126825601 is a prime.

It is a super-2 number, since 2×126825601² = 32169466138022402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126825607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144175 + ... + 145051.

It is an arithmetic number, because the mean of its divisors is an integer number (9226024).

Almost surely, 2^126825601 is an apocalyptic number.

It is an amenable number.

126825601 is a deficient number, since it is larger than the sum of its proper divisors (20790783).

126825601 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (126825600) it forms an eRAP, since the sums of their prime factors are consecutive (1239 and 1240).

126825601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 126825601 is about 11261.6873069714. The cubic root of 126825601 is about 502.4223798658.

The spelling of 126825601 in words is "one hundred twenty-six million, eight hundred twenty-five thousand, six hundred one".