125970810 has 64 divisors (see below), whose sum is σ = 352899072. Its totient is φ = 28178496.

The previous prime is 125970797. The next prime is 125970811. The reversal of 125970810 is 18079521.

It is a super-2 number, since 2×125970810² = 31737289944112200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125970811) 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 31 ways as a sum of consecutive naturals, for example, 3489 + ... + 16251.

It is an arithmetic number, because the mean of its divisors is an integer number (5514048).

Almost surely, 2^125970810 is an apocalyptic number.

125970810 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 125970810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176449536).

125970810 is an abundant number, since it is smaller than the sum of its proper divisors (226928262).

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

125970810 is a wasteful number, since it uses less digits than its factorization.

125970810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12827.

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 125970810 is about 11223.6718590664. The cubic root of 125970810 is about 501.2910767058.

The spelling of 125970810 in words is "one hundred twenty-five million, nine hundred seventy thousand, eight hundred ten".