1252545000 has 320 divisors, whose sum is σ = 4558540800. Its totient is φ = 280800000.

The previous prime is 1252544963. The next prime is 1252545059. The reversal of 1252545000 is 5452521.

It is a happy number.

It is a super-3 number, since 3×1252545000³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8294925 + ... + 8295075.

It is an arithmetic number, because the mean of its divisors is an integer number (14245440).

Almost surely, 2^1252545000 is an apocalyptic number.

1252545000 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 1252545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279270400).

1252545000 is an abundant number, since it is smaller than the sum of its proper divisors (3305995800).

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

1252545000 is a wasteful number, since it uses less digits than its factorization.

1252545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 1252545000 is about 35391.3124933224. The cubic root of 1252545000 is about 1077.9479209273.

Adding to 1252545000 its reverse (5452521), we get a palindrome (1257997521).

The spelling of 1252545000 in words is "one billion, two hundred fifty-two million, five hundred forty-five thousand".