525978545879525 has 48 divisors (see below), whose sum is σ = 675657039891600. Its totient is φ = 405699323904000.

The previous prime is 525978545879461. The next prime is 525978545879537.

525978545879525 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 24 ways, for example, as 434747603762404 + 91230942117121 = 20850602^2 + 9551489^2 .

It is not a de Polignac number, because 525978545879525 - 2⁶ = 525978545879461 is a prime.

It is a congruent number.

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, 1461159761 + ... + 1461519689.

It is an arithmetic number, because the mean of its divisors is an integer number (14076188331075).

Almost surely, 2^{525978545879525} is an apocalyptic number.

It is an amenable number.

525978545879525 is a deficient number, since it is larger than the sum of its proper divisors (149678494012075).

525978545879525 is a wasteful number, since it uses less digits than its factorization.

525978545879525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362810 (or 362805 counting only the distinct ones).

The product of its digits is 63504000000, while the sum is 86.

The spelling of 525978545879525 in words is "five hundred twenty-five trillion, nine hundred seventy-eight billion, five hundred forty-five million, eight hundred seventy-nine thousand, five hundred twenty-five".