125541553210401 has 8 divisors (see below), whose sum is σ = 167388810919200. Its totient is φ = 83694332154272.

The previous prime is 125541553210363. The next prime is 125541553210453. The reversal of 125541553210401 is 104012355145521.

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 125541553210401 - 2¹³ = 125541553202209 is a prime.

It is a super-3 number, since 3×125541553210401³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125541553210401.

It is not an unprimeable number, because it can be changed into a prime (125541553210481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193906 + ... + 15846788.

It is an arithmetic number, because the mean of its divisors is an integer number (20923601364900).

Almost surely, 2^{125541553210401} is an apocalyptic number.

It is an amenable number.

125541553210401 is a deficient number, since it is larger than the sum of its proper divisors (41847257708799).

125541553210401 is a wasteful number, since it uses less digits than its factorization.

125541553210401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18326335.

The product of its (nonzero) digits is 120000, while the sum is 39.

The spelling of 125541553210401 in words is "one hundred twenty-five trillion, five hundred forty-one billion, five hundred fifty-three million, two hundred ten thousand, four hundred one".