52828303553025 has 1728 divisors, whose sum is σ = 135625783394304. Its totient is φ = 17553578803200.

The previous prime is 52828303552987. The next prime is 52828303553101. The reversal of 52828303553025 is 52035530382825.

It is not a de Polignac number, because 52828303553025 - 2⁹ = 52828303552513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 1727 ways as a sum of consecutive naturals, for example, 895394975446 + ... + 895394975504.

It is an arithmetic number, because the mean of its divisors is an integer number (78487143168).

Almost surely, 2^{52828303553025} is an apocalyptic number.

52828303553025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52828303553025 is an abundant number, since it is smaller than the sum of its proper divisors (82797479841279).

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

52828303553025 is a wasteful number, since it uses less digits than its factorization.

52828303553025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 51.

The spelling of 52828303553025 in words is "fifty-two trillion, eight hundred twenty-eight billion, three hundred three million, five hundred fifty-three thousand, twenty-five".