125362641 has 32 divisors (see below), whose sum is σ = 181958400. Its totient is φ = 76482560.

The previous prime is 125362597. The next prime is 125362661. The reversal of 125362641 is 146263521.

It is a cyclic number.

It is not a de Polignac number, because 125362641 - 2⁹ = 125362129 is a prime.

It is a super-4 number, since 4×125362641⁴ (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125362599 and 125362608.

It is not an unprimeable number, because it can be changed into a prime (125362661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322075 + ... + 322463.

It is an arithmetic number, because the mean of its divisors is an integer number (5686200).

Almost surely, 2^125362641 is an apocalyptic number.

It is an amenable number.

125362641 is a deficient number, since it is larger than the sum of its proper divisors (56595759).

125362641 is a wasteful number, since it uses less digits than its factorization.

125362641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569.

The product of its digits is 8640, while the sum is 30.

The square root of 125362641 is about 11196.5459406015. The cubic root of 125362641 is about 500.4830544997.

The spelling of 125362641 in words is "one hundred twenty-five million, three hundred sixty-two thousand, six hundred forty-one".