26398125625 has 45 divisors (see below), whose sum is σ = 33835574619. Its totient is φ = 20588832000.

The previous prime is 26398125619. The next prime is 26398125641. The reversal of 26398125625 is 52652189362.

The square root of 26398125625 is 162475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 21392280121 + 5005845504 = 146261^2 + 70752^2 .

It is not a de Polignac number, because 26398125625 - 2¹³ = 26398117433 is a prime.

It is a super-2 number, since 2×26398125625² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 272145577 + ... + 272145673.

Almost surely, 2^26398125625 is an apocalyptic number.

26398125625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26398125625 is the 162475-th square number.

26398125625 is the 81238-th centered octagonal number.

It is an amenable number.

26398125625 is a deficient number, since it is larger than the sum of its proper divisors (7437448994).

26398125625 is an frugal number, since it uses more digits than its factorization.

26398125625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 169 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 49.

Multiplying 26398125625 by its sum of digits (49), we get a square (1293508155625 = 1137325²).

The spelling of 26398125625 in words is "twenty-six billion, three hundred ninety-eight million, one hundred twenty-five thousand, six hundred twenty-five".