1252883520 has 336 divisors, whose sum is σ = 5097231360. Its totient is φ = 276369408.

The previous prime is 1252883479. The next prime is 1252883539. The reversal of 1252883520 is 253882521.

1252883520 is a `hidden beast` number, since 1 + 2 + 52 + 8 + 83 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1252883520² = 3139434229375180800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 583569 + ... + 585711.

Almost surely, 2^1252883520 is an apocalyptic number.

1252883520 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 1252883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548615680).

1252883520 is an abundant number, since it is smaller than the sum of its proper divisors (3844347840).

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

1252883520 is a wasteful number, since it uses less digits than its factorization.

1252883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1252883520 is about 35396.0946998394. The cubic root of 1252883520 is about 1078.0450229772.

Subtracting from 1252883520 its reverse (253882521), we obtain a palindrome (999000999).

The spelling of 1252883520 in words is "one billion, two hundred fifty-two million, eight hundred eighty-three thousand, five hundred twenty".