125129585319 has 16 divisors (see below), whose sum is σ = 175633996032. Its totient is φ = 79086643328.

The previous prime is 125129585309. The next prime is 125129585359. The reversal of 125129585319 is 913585921521.

It is a cyclic number.

It is not a de Polignac number, because 125129585319 - 2⁴ = 125129585303 is a prime.

It is a super-4 number, since 4×125129585319⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125129585309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8016417 + ... + 8032010.

It is an arithmetic number, because the mean of its divisors is an integer number (10977124752).

Almost surely, 2^125129585319 is an apocalyptic number.

125129585319 is a deficient number, since it is larger than the sum of its proper divisors (50504410713).

125129585319 is a wasteful number, since it uses less digits than its factorization.

125129585319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16048566.

The product of its digits is 972000, while the sum is 51.

The spelling of 125129585319 in words is "one hundred twenty-five billion, one hundred twenty-nine million, five hundred eighty-five thousand, three hundred nineteen".