1000305252 has 36 divisors (see below), whose sum is σ = 2576262780. Its totient is φ = 327143232.

The previous prime is 1000305221. The next prime is 1000305253. The reversal of 1000305252 is 2525030001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 635342436 + 364962816 = 25206^2 + 19104^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1000305252² = 2001221194357567008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1000305253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260227 + ... + 264042.

It is an arithmetic number, because the mean of its divisors is an integer number (71562855).

Almost surely, 2^1000305252 is an apocalyptic number.

1000305252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000305252 is an abundant number, since it is smaller than the sum of its proper divisors (1575957528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000305252 is a wasteful number, since it uses less digits than its factorization.

1000305252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524332 (or 524327 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1000305252 is about 31627.6026913201. The cubic root of 1000305252 is about 1000.1017403152.

Adding to 1000305252 its reverse (2525030001), we get a palindrome (3525335253).

The spelling of 1000305252 in words is "one billion, three hundred five thousand, two hundred fifty-two".