1483252256250 has 288 divisors, whose sum is σ = 4236518220480. Its totient is φ = 388806480000.

The previous prime is 1483252256209. The next prime is 1483252256251. The reversal of 1483252256250 is 526522523841.

1483252256250 is a `hidden beast` number, since 1 + 4 + 8 + 32 + 5 + 2 + 2 + 562 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1483252256196 and 1483252256205.

It is not an unprimeable number, because it can be changed into a prime (1483252256251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89597974 + ... + 89614526.

It is an arithmetic number, because the mean of its divisors is an integer number (14710132710).

Almost surely, 2^{1483252256250} is an apocalyptic number.

1483252256250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1483252256250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118259110240).

1483252256250 is an abundant number, since it is smaller than the sum of its proper divisors (2753265964230).

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

1483252256250 is an frugal number, since it uses more digits than its factorization.

1483252256250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16654 (or 16622 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 1483252256250 in words is "one trillion, four hundred eighty-three billion, two hundred fifty-two million, two hundred fifty-six thousand, two hundred fifty".