1006501525 has 12 divisors (see below), whose sum is σ = 1268523844. Its totient is φ = 792000000.

The previous prime is 1006501519. The next prime is 1006501547. The reversal of 1006501525 is 5251056001.

It can be written as a sum of positive squares in 6 ways, for example, as 199543876 + 806957649 = 14126^2 + 28407^2 .

It is not a de Polignac number, because 1006501525 - 2⁵ = 1006501493 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1006501525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328476 + ... + 331525.

Almost surely, 2^1006501525 is an apocalyptic number.

It is an amenable number.

1006501525 is a deficient number, since it is larger than the sum of its proper divisors (262022319).

1006501525 is an equidigital number, since it uses as much as digits as its factorization.

1006501525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660072 (or 660067 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 1006501525 is about 31725.4081928034. The cubic root of 1006501525 is about 1002.1624952434.

Adding to 1006501525 its reverse (5251056001), we get a palindrome (6257557526).

The spelling of 1006501525 in words is "one billion, six million, five hundred one thousand, five hundred twenty-five".