1252083456 has 216 divisors, whose sum is σ = 4118128560. Its totient is φ = 362446848.

The previous prime is 1252083449. The next prime is 1252083457. The reversal of 1252083456 is 6543802521.

1252083456 is a `hidden beast` number, since 1 + 2 + 520 + 83 + 4 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1252083456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252083457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507955 + ... + 510413.

It is an arithmetic number, because the mean of its divisors is an integer number (19065410).

Almost surely, 2^1252083456 is an apocalyptic number.

1252083456 is a gapful number since it is divisible by the number (16) 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 1252083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059064280).

1252083456 is an abundant number, since it is smaller than the sum of its proper divisors (2866045104).

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

1252083456 is a wasteful number, since it uses less digits than its factorization.

1252083456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1252083456 is about 35384.7913092617. The cubic root of 1252083456 is about 1077.8155021274.

Adding to 1252083456 its reverse (6543802521), we get a palindrome (7795885977).

The spelling of 1252083456 in words is "one billion, two hundred fifty-two million, eighty-three thousand, four hundred fifty-six".