1005405625 has 40 divisors (see below), whose sum is σ = 1474877888. Its totient is φ = 670680000.

The previous prime is 1005405593. The next prime is 1005405629. The reversal of 1005405625 is 5265045001.

It is not a de Polignac number, because 1005405625 - 2⁵ = 1005405593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005405593 and 1005405602.

It is not an unprimeable number, because it can be changed into a prime (1005405629) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 158770 + ... + 164980.

Almost surely, 2^1005405625 is an apocalyptic number.

It is an amenable number.

1005405625 is a deficient number, since it is larger than the sum of its proper divisors (469472263).

1005405625 is an frugal number, since it uses more digits than its factorization.

1005405625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6275 (or 6260 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 1005405625 is about 31708.1318434246. The cubic root of 1005405625 is about 1001.7986379619.

It can be divided in two parts, 100 and 5405625, that multiplied together give a square (540562500 = 23250²).

The spelling of 1005405625 in words is "one billion, five million, four hundred five thousand, six hundred twenty-five".