1253002680 has 192 divisors, whose sum is σ = 4394295360. Its totient is φ = 308465664.

The previous prime is 1253002651. The next prime is 1253002691. The reversal of 1253002680 is 862003521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322429 + ... + 326291.

It is an arithmetic number, because the mean of its divisors is an integer number (22886955).

Almost surely, 2^1253002680 is an apocalyptic number.

1253002680 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 1253002680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197147680).

1253002680 is an abundant number, since it is smaller than the sum of its proper divisors (3141292680).

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

1253002680 is a wasteful number, since it uses less digits than its factorization.

1253002680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1253002680 is about 35397.7778963595. Note that the first 3 decimals coincide. The cubic root of 1253002680 is about 1078.0791990121.

The spelling of 1253002680 in words is "one billion, two hundred fifty-three million, two thousand, six hundred eighty".