253456868025 has 27 divisors (see below), whose sum is σ = 453982938799. Its totient is φ = 135172968720.

The previous prime is 253456867991. The next prime is 253456868047. The reversal of 253456868025 is 520868654352.

The square root of 253456868025 is 503445.

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

253456868025 is a `hidden beast` number, since 2 + 53 + 4 + 568 + 6 + 8 + 0 + 25 = 666.

253456868025 is digitally balanced in base 2, 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 only one way, i.e., 91244472489 + 162212395536 = 302067^2 + 402756^2 .

It is not a de Polignac number, because 253456868025 - 2²⁷ = 253322650297 is a prime.

It is a Duffinian number.

It is a Curzon 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 26 ways as a sum of consecutive naturals, for example, 7534894 + ... + 7568456.

Almost surely, 2^253456868025 is an apocalyptic number.

253456868025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

253456868025 is the 503445-th square number.

253456868025 is the 251723-rd centered octagonal number.

It is an amenable number.

253456868025 is a deficient number, since it is larger than the sum of its proper divisors (200526070774).

253456868025 is an frugal number, since it uses more digits than its factorization.

253456868025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67142 (or 33571 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

It can be divided in two parts, 253456 and 868025, that added together give a square (1121481 = 1059²).

The spelling of 253456868025 in words is "two hundred fifty-three billion, four hundred fifty-six million, eight hundred sixty-eight thousand, twenty-five".