125540255511 has 32 divisors (see below), whose sum is σ = 213571948800. Its totient is φ = 72080526240.

The previous prime is 125540255437. The next prime is 125540255513. The reversal of 125540255511 is 115552045521.

125540255511 is a `hidden beast` number, since 1 + 2 + 55 + 40 + 2 + 55 + 511 = 666.

It is not a de Polignac number, because 125540255511 - 2¹¹ = 125540253463 is a prime.

It is a super-4 number, since 4×125540255511⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125540255513) 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 31 ways as a sum of consecutive naturals, for example, 11117896 + ... + 11129181.

It is an arithmetic number, because the mean of its divisors is an integer number (6674123400).

Almost surely, 2^125540255511 is an apocalyptic number.

125540255511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

125540255511 is a deficient number, since it is larger than the sum of its proper divisors (88031693289).

125540255511 is a wasteful number, since it uses less digits than its factorization.

125540255511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22247116 (or 22247110 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 36.

The spelling of 125540255511 in words is "one hundred twenty-five billion, five hundred forty million, two hundred fifty-five thousand, five hundred eleven".