125407348641 has 9 divisors (see below), whose sum is σ = 181145482609. Its totient is φ = 83604190836.

The previous prime is 125407348639. The next prime is 125407348709. The reversal of 125407348641 is 146843704521.

The square root of 125407348641 is 354129.

It is a perfect power (a square), and thus also a powerful number.

125407348641 is a `hidden beast` number, since 1 + 2 + 540 + 7 + 3 + 48 + 64 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 125407348641 - 2¹ = 125407348639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125407348141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1003366 + ... + 1121408.

Almost surely, 2^125407348641 is an apocalyptic number.

125407348641 is the 354129-th square number.

125407348641 is the 177065-th centered octagonal number.

It is an amenable number.

125407348641 is a deficient number, since it is larger than the sum of its proper divisors (55738133968).

125407348641 is an frugal number, since it uses more digits than its factorization.

125407348641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236092 (or 118046 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 125407348641 in words is "one hundred twenty-five billion, four hundred seven million, three hundred forty-eight thousand, six hundred forty-one".