1010005536025 has 36 divisors (see below), whose sum is σ = 1321464452112. Its totient is φ = 765649609120.

The previous prime is 1010005536017. The next prime is 1010005536083. The reversal of 1010005536025 is 5206355000101.

It is not a de Polignac number, because 1010005536025 - 2³ = 1010005536017 is a prime.

It is a super-2 number, since 2×1010005536025² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010005535984 and 1010005536002.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1058202 + ... + 1771948.

It is an arithmetic number, because the mean of its divisors is an integer number (36707345892).

Almost surely, 2^{1010005536025} is an apocalyptic number.

It is an amenable number.

1010005536025 is a deficient number, since it is larger than the sum of its proper divisors (311458916087).

1010005536025 is a wasteful number, since it uses less digits than its factorization.

1010005536025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713910 (or 713882 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 1010005536025 in words is "one trillion, ten billion, five million, five hundred thirty-six thousand, twenty-five".