25386714021529 has 75 divisors (see below), whose sum is σ = 30891956980885. Its totient is φ = 20861299088280.

The previous prime is 25386714021509. The next prime is 25386714021551. The reversal of 25386714021529 is 92512041768352.

It is a happy number.

The square root of 25386714021529 is 5038523.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 25386714021529 - 2¹³ = 25386714013337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 25386714021529.

It is not an unprimeable number, because it can be changed into a prime (25386714021509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 237259009494 + ... + 237259009600.

It is a 1-persistent number, because it is pandigital, but 2⋅25386714021529 = 50773428043058 is not.

Almost surely, 2^{25386714021529} is an apocalyptic number.

25386714021529 is the 5038523-rd square number.

25386714021529 is the 2519262-nd centered octagonal number.

It is an amenable number.

25386714021529 is a deficient number, since it is larger than the sum of its proper divisors (5505242959356).

25386714021529 is an frugal number, since it uses more digits than its factorization.

25386714021529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 25386714021529 in words is "twenty-five trillion, three hundred eighty-six billion, seven hundred fourteen million, twenty-one thousand, five hundred twenty-nine".