1252541000 has 64 divisors (see below), whose sum is σ = 2938066560. Its totient is φ = 499800000.

The previous prime is 1252540979. The next prime is 1252541041. The reversal of 1252541000 is 1452521.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489725 + ... + 492275.

It is an arithmetic number, because the mean of its divisors is an integer number (45907290).

Almost surely, 2^1252541000 is an apocalyptic number.

1252541000 is a gapful number since it is divisible by the number (10) 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 1252541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469033280).

1252541000 is an abundant number, since it is smaller than the sum of its proper divisors (1685525560).

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

1252541000 is a wasteful number, since it uses less digits than its factorization.

1252541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1252541000 is about 35391.2559822338. The cubic root of 1252541000 is about 1077.9467734513.

Adding to 1252541000 its reverse (1452521), we get a palindrome (1253993521).

The spelling of 1252541000 in words is "one billion, two hundred fifty-two million, five hundred forty-one thousand".