125008590 has 64 divisors (see below), whose sum is σ = 351267840. Its totient is φ = 27874560.

The previous prime is 125008571. The next prime is 125008591. The reversal of 125008590 is 95800521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125008591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1351 + ... + 15869.

It is an arithmetic number, because the mean of its divisors is an integer number (5488560).

Almost surely, 2^125008590 is an apocalyptic number.

125008590 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 125008590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920).

125008590 is an abundant number, since it is smaller than the sum of its proper divisors (226259250).

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

125008590 is a wasteful number, since it uses less digits than its factorization.

125008590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14577.

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 125008590 is about 11180.7240373779. The cubic root of 125008590 is about 500.0114530710.

The spelling of 125008590 in words is "one hundred twenty-five million, eight thousand, five hundred ninety".