25361199504 has 135 divisors (see below), whose sum is σ = 74325036513. Its totient is φ = 8072165376.

The previous prime is 25361199497. The next prime is 25361199553. The reversal of 25361199504 is 40599116352.

The square root of 25361199504 is 159252.

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

25361199504 is a `hidden beast` number, since 2 + 53 + 6 + 1 + 1 + 99 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25185690000 + 175509504 = 158700^2 + 13248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 25361199504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43953264 + ... + 43953840.

Almost surely, 2^25361199504 is an apocalyptic number.

25361199504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

25361199504 is the 159252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25361199504

25361199504 is an abundant number, since it is smaller than the sum of its proper divisors (48963837009).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25361199504 is an equidigital number, since it uses as much as digits as its factorization.

25361199504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 25361199504 in words is "twenty-five billion, three hundred sixty-one million, one hundred ninety-nine thousand, five hundred four".