253869861025 has 27 divisors (see below), whose sum is σ = 346056101209. Its totient is φ = 184612472000.

The previous prime is 253869860987. The next prime is 253869861073. The reversal of 253869861025 is 520168968352.

The square root of 253869861025 is 503855.

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

253869861025 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 4 ways, for example, as 23895903889 + 229973957136 = 154583^2 + 479556^2 .

It is not a de Polignac number, because 253869861025 - 2⁹ = 253869860513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

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 26 ways as a sum of consecutive naturals, for example, 27707445 + ... + 27716605.

Almost surely, 2^253869861025 is an apocalyptic number.

253869861025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

253869861025 is the 503855-th square number.

253869861025 is the 251928-th centered octagonal number.

It is an amenable number.

253869861025 is a deficient number, since it is larger than the sum of its proper divisors (92186240184).

253869861025 is an frugal number, since it uses more digits than its factorization.

253869861025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18354 (or 9177 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 253869861025 in words is "two hundred fifty-three billion, eight hundred sixty-nine million, eight hundred sixty-one thousand, twenty-five".