1006011252 has 54 divisors (see below), whose sum is σ = 2640714258. Its totient is φ = 335328336.

The previous prime is 1006011239. The next prime is 1006011269. The reversal of 1006011252 is 2521106001.

1006011252 is a `hidden beast` number, since 1 + 0 + 0 + 601 + 12 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 917726436 + 88284816 = 30294^2 + 9396^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is a super-4 number, since 4×1006011252⁴ (a number of 37 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7078 + ... + 45410.

Almost surely, 2^1006011252 is an apocalyptic number.

1006011252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006011252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320357129).

1006011252 is an abundant number, since it is smaller than the sum of its proper divisors (1634703006).

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

1006011252 is an frugal number, since it uses more digits than its factorization.

1006011252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38361 (or 38338 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1006011252 is about 31717.6804322132. The cubic root of 1006011252 is about 1001.9997490049. Note that the first 3 decimals are identical.

Adding to 1006011252 its reverse (2521106001), we get a palindrome (3527117253).

It can be divided in two parts, 10060 and 11252, that added together give a palindrome (21312).

The spelling of 1006011252 in words is "one billion, six million, eleven thousand, two hundred fifty-two".