2596432709025 has 243 divisors, whose sum is σ = 5067642224203. Its totient is φ = 1270513305600.

The previous prime is 2596432708943. The next prime is 2596432709029. The reversal of 2596432709025 is 5209072346952.

The square root of 2596432709025 is 1611345.

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

2596432709025 is a `hidden beast` number, since 2 + 59 + 6 + 432 + 70 + 90 + 2 + 5 = 666.

2596432709025 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 1751305510161 + 845127198864 = 1323369^2 + 919308^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2596432709025 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2596432709029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 29173401181 + ... + 29173401269.

Almost surely, 2^{2596432709025} is an apocalyptic number.

2596432709025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2596432709025 is the 1611345-th square number.

2596432709025 is the 805673-rd centered octagonal number.

It is an amenable number.

2596432709025 is a deficient number, since it is larger than the sum of its proper divisors (2471209515178).

2596432709025 is an equidigital number, since it uses as much as digits as its factorization.

2596432709025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 2596432709025 in words is "two trillion, five hundred ninety-six billion, four hundred thirty-two million, seven hundred nine thousand, twenty-five".