1253241000 has 192 divisors, whose sum is σ = 4621406400. Its totient is φ = 303792000.

The previous prime is 1253240971. The next prime is 1253241019. The reversal of 1253241000 is 1423521.

1253241000 is a `hidden beast` number, since 1 + 253 + 2 + 410 + 0 + 0 = 666.

It is a super-2 number, since 2×1253241000² = 3141226008162000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92671 + ... + 105329.

It is an arithmetic number, because the mean of its divisors is an integer number (24069825).

Almost surely, 2^1253241000 is an apocalyptic number.

1253241000 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 1253241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310703200).

1253241000 is an abundant number, since it is smaller than the sum of its proper divisors (3368165400).

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

1253241000 is a wasteful number, since it uses less digits than its factorization.

1253241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12697 (or 12680 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1253241000 is about 35401.1440493100. The cubic root of 1253241000 is about 1078.1475445821.

Adding to 1253241000 its reverse (1423521), we get a palindrome (1254664521).

The spelling of 1253241000 in words is "one billion, two hundred fifty-three million, two hundred forty-one thousand".