125251115105201 has 8 divisors (see below), whose sum is σ = 125799696713064. Its totient is φ = 124702772071680.

The previous prime is 125251115105167. The next prime is 125251115105213. The reversal of 125251115105201 is 102501511152521.

It can be written as a sum of positive squares in 4 ways, for example, as 46888324725025 + 78362790380176 = 6847505^2 + 8852276^2 .

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 125251115105201 - 2³⁴ = 125233935236017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125251115105801) 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, 58591250 + ... + 60691323.

It is an arithmetic number, because the mean of its divisors is an integer number (15724962089133).

Almost surely, 2^{125251115105201} is an apocalyptic number.

It is an amenable number.

125251115105201 is a deficient number, since it is larger than the sum of its proper divisors (548581607863).

125251115105201 is a wasteful number, since it uses less digits than its factorization.

125251115105201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119287171.

The product of its (nonzero) digits is 5000, while the sum is 32.

Adding to 125251115105201 its reverse (102501511152521), we get a palindrome (227752626257722).

The spelling of 125251115105201 in words is "one hundred twenty-five trillion, two hundred fifty-one billion, one hundred fifteen million, one hundred five thousand, two hundred one".