1625138505 has 32 divisors (see below), whose sum is σ = 2950617600. Its totient is φ = 848295936.

The previous prime is 1625138503. The next prime is 1625138521. The reversal of 1625138505 is 5058315261.

It is a happy number.

1625138505 is a `hidden beast` number, since 1 + 62 + 513 + 85 + 0 + 5 = 666.

It is not a de Polignac number, because 1625138505 - 2¹ = 1625138503 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1625138505.

It is not an unprimeable number, because it can be changed into a prime (1625138503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121720 + ... + 134409.

It is an arithmetic number, because the mean of its divisors is an integer number (92206800).

Almost surely, 2^1625138505 is an apocalyptic number.

1625138505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1625138505 is a deficient number, since it is larger than the sum of its proper divisors (1325479095).

1625138505 is a wasteful number, since it uses less digits than its factorization.

1625138505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256190 (or 256184 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 1625138505 is about 40313.0066479790. The cubic root of 1625138505 is about 1175.7007451279.

It can be divided in two parts, 16251 and 38505, that added together give a square (54756 = 234²).

The spelling of 1625138505 in words is "one billion, six hundred twenty-five million, one hundred thirty-eight thousand, five hundred five".