1253340000 has 480 divisors, whose sum is σ = 5006897280. Its totient is φ = 302400000.

The previous prime is 1253339999. The next prime is 1253340001. The reversal of 1253340000 is 433521.

It is an interprime number because it is at equal distance from previous prime (1253339999) and next prime (1253340001).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1253340000² = 3141722311200000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253340001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5939895 + ... + 5940105.

It is an arithmetic number, because the mean of its divisors is an integer number (10431036).

Almost surely, 2^1253340000 is an apocalyptic number.

1253340000 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 1253340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503448640).

1253340000 is an abundant number, since it is smaller than the sum of its proper divisors (3753557280).

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

1253340000 is a wasteful number, since it uses less digits than its factorization.

1253340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1253340000 is about 35402.5422815933. The cubic root of 1253340000 is about 1078.1759333215.

Adding to 1253340000 its reverse (433521), we get a palindrome (1253773521).

The spelling of 1253340000 in words is "one billion, two hundred fifty-three million, three hundred forty thousand".