1006725225 has 48 divisors (see below), whose sum is σ = 1819080000. Its totient is φ = 487219200.

The previous prime is 1006725211. The next prime is 1006725253. The reversal of 1006725225 is 5225276001.

It is not a de Polignac number, because 1006725225 - 2⁹ = 1006724713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006725192 and 1006725201.

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, 805401 + ... + 806649.

It is an arithmetic number, because the mean of its divisors is an integer number (37897500).

Almost surely, 2^1006725225 is an apocalyptic number.

1006725225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006725225 is a deficient number, since it is larger than the sum of its proper divisors (812354775).

1006725225 is a wasteful number, since it uses less digits than its factorization.

1006725225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 1006725225 is about 31728.9335622866. The cubic root of 1006725225 is about 1002.2367349533.

The spelling of 1006725225 in words is "one billion, six million, seven hundred twenty-five thousand, two hundred twenty-five".