1005520054125 has 64 divisors (see below), whose sum is σ = 1705950005760. Its totient is φ = 525877401600.

The previous prime is 1005520054103. The next prime is 1005520054153. The reversal of 1005520054125 is 5214500255001.

It is not a de Polignac number, because 1005520054125 - 2¹⁴ = 1005520037741 is a prime.

It is a super-2 number, since 2×1005520054125² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1005520054092 and 1005520054101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3838072 + ... + 4091678.

It is an arithmetic number, because the mean of its divisors is an integer number (26655468840).

Almost surely, 2^{1005520054125} is an apocalyptic number.

1005520054125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005520054125 is a deficient number, since it is larger than the sum of its proper divisors (700429951635).

1005520054125 is a wasteful number, since it uses less digits than its factorization.

1005520054125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253831 (or 253821 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 1005520054125 in words is "one trillion, five billion, five hundred twenty million, fifty-four thousand, one hundred twenty-five".