1025524240224 has 288 divisors, whose sum is σ = 3059336189952. Its totient is φ = 300257126400.

The previous prime is 1025524240127. The next prime is 1025524240231. The reversal of 1025524240224 is 4220424255201.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 267549412 + ... + 267553244.

It is an arithmetic number, because the mean of its divisors is an integer number (10622695104).

Almost surely, 2^{1025524240224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025524240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529668094976).

1025524240224 is an abundant number, since it is smaller than the sum of its proper divisors (2033811949728).

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

1025524240224 is a wasteful number, since it uses less digits than its factorization.

1025524240224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 4623 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 33.

Adding to 1025524240224 its reverse (4220424255201), we get a palindrome (5245948495425).

The spelling of 1025524240224 in words is "one trillion, twenty-five billion, five hundred twenty-four million, two hundred forty thousand, two hundred twenty-four".