1005016525 has 12 divisors (see below), whose sum is σ = 1246646772. Its totient is φ = 803738240.

The previous prime is 1005016501. The next prime is 1005016531. The reversal of 1005016525 is 5256105001.

It can be written as a sum of positive squares in 6 ways, for example, as 10118761 + 994897764 = 3181^2 + 31542^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1005016525 is a prime.

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 1005016525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100659 + ... + 110191.

It is an arithmetic number, because the mean of its divisors is an integer number (103887231).

Almost surely, 2^1005016525 is an apocalyptic number.

It is an amenable number.

1005016525 is a deficient number, since it is larger than the sum of its proper divisors (241630247).

1005016525 is an equidigital number, since it uses as much as digits as its factorization.

1005016525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13760 (or 13755 counting only the distinct ones).

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

The square root of 1005016525 is about 31701.9955996464. The cubic root of 1005016525 is about 1001.6693865976.

The spelling of 1005016525 in words is "one billion, five million, sixteen thousand, five hundred twenty-five".