253859784025 has 9 divisors (see below), whose sum is σ = 314789256061. Its totient is φ = 203085811840.

The previous prime is 253859784023. The next prime is 253859784043. The reversal of 253859784025 is 520487958352.

The square root of 253859784025 is 503845.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1691101129 + 252168682896 = 41123^2 + 502164^2 .

It is not a de Polignac number, because 253859784025 - 2¹ = 253859784023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253859784023) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2468841 + ... + 2569609.

Almost surely, 2^253859784025 is an apocalyptic number.

253859784025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

253859784025 is the 503845-th square number.

253859784025 is the 251923-rd centered octagonal number.

It is an amenable number.

253859784025 is a deficient number, since it is larger than the sum of its proper divisors (60929472036).

253859784025 is an frugal number, since it uses more digits than its factorization.

253859784025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201548 (or 100774 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 58.

The spelling of 253859784025 in words is "two hundred fifty-three billion, eight hundred fifty-nine million, seven hundred eighty-four thousand, twenty-five".