125741993 has 8 divisors (see below), whose sum is σ = 136614408. Its totient is φ = 115041024.

The previous prime is 125741977. The next prime is 125742017. The reversal of 125741993 is 399147521.

It can be written as a sum of positive squares in 4 ways, for example, as 24880144 + 100861849 = 4988^2 + 10043^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 125741993 - 2⁴ = 125741977 is a prime.

It is a super-3 number, since 3×125741993³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 125741993.

It is not an unprimeable number, because it can be changed into a prime (125741293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41330 + ... + 44267.

It is an arithmetic number, because the mean of its divisors is an integer number (17076801).

Almost surely, 2^125741993 is an apocalyptic number.

125741993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

125741993 is a deficient number, since it is larger than the sum of its proper divisors (10872415).

125741993 is a wasteful number, since it uses less digits than its factorization.

125741993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85723.

The product of its digits is 68040, while the sum is 41.

The square root of 125741993 is about 11213.4737258354. The cubic root of 125741993 is about 500.9873729060.

The spelling of 125741993 in words is "one hundred twenty-five million, seven hundred forty-one thousand, nine hundred ninety-three".