1252541200 has 30 divisors (see below), whose sum is σ = 3009231194. Its totient is φ = 501016320.

The previous prime is 1252541189. The next prime is 1252541207. The reversal of 1252541200 is 21452521.

It can be written as a sum of positive squares in 3 ways, for example, as 79067664 + 1173473536 = 8892^2 + 34256^2 .

It is not an unprimeable number, because it can be changed into a prime (1252541207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1565277 + ... + 1566076.

Almost surely, 2^1252541200 is an apocalyptic number.

1252541200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252541200 is an abundant number, since it is smaller than the sum of its proper divisors (1756689994).

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

1252541200 is a wasteful number, since it uses less digits than its factorization.

1252541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131371 (or 3131360 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 1252541200 is about 35391.2588077904. The cubic root of 1252541200 is about 1077.9468308251.

Adding to 1252541200 its reverse (21452521), we get a palindrome (1273993721).

The spelling of 1252541200 in words is "one billion, two hundred fifty-two million, five hundred forty-one thousand, two hundred".