25006550429025 has 81 divisors (see below), whose sum is σ = 49233069710643. Its totient is φ = 12123988034400.

The previous prime is 25006550428997. The next prime is 25006550429027. The reversal of 25006550429025 is 52092405560052.

The square root of 25006550429025 is 5000655.

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

25006550429025 is a `hidden beast` number, since 2 + 5 + 0 + 0 + 6 + 550 + 4 + 2 + 90 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9002358154449 + 16004192274576 = 3000393^2 + 4000524^2 .

It is not a de Polignac number, because 25006550429025 - 2¹⁹ = 25006549904737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25006550429027) 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 80 ways as a sum of consecutive naturals, for example, 825092922 + ... + 825123228.

Almost surely, 2^{25006550429025} is an apocalyptic number.

25006550429025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25006550429025 is the 5000655-th square number.

25006550429025 is the 2500328-th centered octagonal number.

It is an amenable number.

25006550429025 is a deficient number, since it is larger than the sum of its proper divisors (24226519281618).

25006550429025 is an frugal number, since it uses more digits than its factorization.

25006550429025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60652 (or 30326 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

Adding to 25006550429025 its reverse (52092405560052), we get a palindrome (77098955989077).

The spelling of 25006550429025 in words is "twenty-five trillion, six billion, five hundred fifty million, four hundred twenty-nine thousand, twenty-five".