1725149002752 has 528 divisors, whose sum is σ = 5871212605440. Its totient is φ = 477694623744.

The previous prime is 1725149002729. The next prime is 1725149002769. The reversal of 1725149002752 is 2572009415271.

It is a super-2 number, since 2×1725149002752² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1725149002698 and 1725149002707.

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, 283785249 + ... + 283791327.

Almost surely, 2^{1725149002752} is an apocalyptic number.

1725149002752 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 1725149002752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935606302720).

1725149002752 is an abundant number, since it is smaller than the sum of its proper divisors (4146063602688).

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

1725149002752 is a wasteful number, since it uses less digits than its factorization.

1725149002752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 1725149002752 in words is "one trillion, seven hundred twenty-five billion, one hundred forty-nine million, two thousand, seven hundred fifty-two".