52078355387025 has 384 divisors, whose sum is σ = 104680477163520. Its totient is φ = 22534955520000.

The previous prime is 52078355386973. The next prime is 52078355387027.

52078355387025 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52078355387025 - 2⁶ = 52078355386961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52078355387025.

It is not an unprimeable number, because it can be changed into a prime (52078355387027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36190656256 + ... + 36190657694.

It is an arithmetic number, because the mean of its divisors is an integer number (272605409280).

Almost surely, 2^{52078355387025} is an apocalyptic number.

52078355387025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52078355387025 is an abundant number, since it is smaller than the sum of its proper divisors (52602121776495).

52078355387025 is a wasteful number, since it uses less digits than its factorization.

52078355387025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 60.

The spelling of 52078355387025 in words is "fifty-two trillion, seventy-eight billion, three hundred fifty-five million, three hundred eighty-seven thousand, twenty-five".