1503225463752 has 128 divisors (see below), whose sum is σ = 4314754483200. Its totient is φ = 484413004800.

The previous prime is 1503225463739. The next prime is 1503225463847. The reversal of 1503225463752 is 2573645223051.

1503225463752 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 2 + 2 + 5 + 4 + 637 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1503225463698 and 1503225463707.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6427102 + ... + 6656882.

It is an arithmetic number, because the mean of its divisors is an integer number (33709019400).

Almost surely, 2^{1503225463752} is an apocalyptic number.

1503225463752 is a gapful number since it is divisible by the number (12) 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 1503225463752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157377241600).

1503225463752 is an abundant number, since it is smaller than the sum of its proper divisors (2811529019448).

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

1503225463752 is a wasteful number, since it uses less digits than its factorization.

1503225463752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230804 (or 230794 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 1503225463752 in words is "one trillion, five hundred three billion, two hundred twenty-five million, four hundred sixty-three thousand, seven hundred fifty-two".