125541949665 has 64 divisors (see below), whose sum is σ = 232702709760. Its totient is φ = 57154728960.

The previous prime is 125541949613. The next prime is 125541949691. The reversal of 125541949665 is 566949145521.

It is not a de Polignac number, because 125541949665 - 2⁶ = 125541949601 is a prime.

It is a super-2 number, since 2×125541949665² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177064 + ... + 531446.

It is an arithmetic number, because the mean of its divisors is an integer number (3635979840).

Almost surely, 2^125541949665 is an apocalyptic number.

125541949665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125541949665 is a deficient number, since it is larger than the sum of its proper divisors (107160760095).

125541949665 is a wasteful number, since it uses less digits than its factorization.

125541949665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354534.

The product of its digits is 11664000, while the sum is 57.

The spelling of 125541949665 in words is "one hundred twenty-five billion, five hundred forty-one million, nine hundred forty-nine thousand, six hundred sixty-five".