55506001010541 has 64 divisors (see below), whose sum is σ = 84306043745280. Its totient is φ = 32274012902400.

The previous prime is 55506001010459. The next prime is 55506001010557. The reversal of 55506001010541 is 14501010060555.

It is not a de Polignac number, because 55506001010541 - 2³⁹ = 54956245196653 is a prime.

It is a super-2 number, since 2×55506001010541² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55506001020541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4706586 + ... + 11539668.

It is an arithmetic number, because the mean of its divisors is an integer number (1317281933520).

Almost surely, 2^{55506001010541} is an apocalyptic number.

55506001010541 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

55506001010541 is a deficient number, since it is larger than the sum of its proper divisors (28800042734739).

55506001010541 is a wasteful number, since it uses less digits than its factorization.

55506001010541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6833306.

The product of its (nonzero) digits is 15000, while the sum is 33.

The spelling of 55506001010541 in words is "fifty-five trillion, five hundred six billion, one million, ten thousand, five hundred forty-one".