52057566575025 has 48 divisors (see below), whose sum is σ = 93893871532608. Its totient is φ = 25239776512000.

The previous prime is 52057566575017. The next prime is 52057566575033.

52057566575025 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (52057566575017) and next prime (52057566575033).

It is not a de Polignac number, because 52057566575025 - 2³ = 52057566575017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 52057566575025.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100339285 + ... + 100856765.

It is an arithmetic number, because the mean of its divisors is an integer number (1956122323596).

Almost surely, 2^{52057566575025} is an apocalyptic number.

52057566575025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52057566575025 is a deficient number, since it is larger than the sum of its proper divisors (41836304957583).

52057566575025 is a wasteful number, since it uses less digits than its factorization.

52057566575025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639442 (or 639437 counting only the distinct ones).

The product of its (nonzero) digits is 110250000, while the sum is 60.

The spelling of 52057566575025 in words is "fifty-two trillion, fifty-seven billion, five hundred sixty-six million, five hundred seventy-five thousand, twenty-five".