1252532000 has 48 divisors (see below), whose sum is σ = 3077480952. Its totient is φ = 501011200.

The previous prime is 1252531991. The next prime is 1252532009. The reversal of 1252532000 is 2352521.

It is an interprime number because it is at equal distance from previous prime (1252531991) and next prime (1252532009).

It can be written as a sum of positive squares in 4 ways, for example, as 585446416 + 667085584 = 24196^2 + 25828^2 .

It is a super-2 number, since 2×1252532000² = 3137672822048000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1252532009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152567 + ... + 160566.

Almost surely, 2^1252532000 is an apocalyptic number.

1252532000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252532000 is an abundant number, since it is smaller than the sum of its proper divisors (1824948952).

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

1252532000 is an equidigital number, since it uses as much as digits as its factorization.

1252532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313158 (or 313140 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1252532000 is about 35391.1288319545. The cubic root of 1252532000 is about 1077.9441916212.

Adding to 1252532000 its reverse (2352521), we get a palindrome (1254884521).

The spelling of 1252532000 in words is "one billion, two hundred fifty-two million, five hundred thirty-two thousand".