1005506082825 has 48 divisors (see below), whose sum is σ = 1760608075776. Its totient is φ = 505297742400.

The previous prime is 1005506082793. The next prime is 1005506082859. The reversal of 1005506082825 is 5282806055001.

It is not a de Polignac number, because 1005506082825 - 2⁵ = 1005506082793 is a prime.

It is a super-2 number, since 2×1005506082825² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4234441 + ... + 4465590.

It is an arithmetic number, because the mean of its divisors is an integer number (36679334912).

Almost surely, 2^{1005506082825} is an apocalyptic number.

1005506082825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005506082825 is a deficient number, since it is larger than the sum of its proper divisors (755101992951).

1005506082825 is a wasteful number, since it uses less digits than its factorization.

1005506082825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8700134 (or 8700129 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The spelling of 1005506082825 in words is "one trillion, five billion, five hundred six million, eighty-two thousand, eight hundred twenty-five".