253287384150025 has 81 divisors (see below), whose sum is σ = 322002567893973. Its totient is φ = 197641444492800.

The previous prime is 253287384149963. The next prime is 253287384150061. The reversal of 253287384150025 is 520051483782352.

The square root of 253287384150025 is 15915005.

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 13868332408441 + 239419051741584 = 3724021^2 + 15473172^2 .

It is not a de Polignac number, because 253287384150025 - 2¹⁹ = 253287383625737 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 717528000249 + ... + 717528000601.

Almost surely, 2^{253287384150025} is an apocalyptic number.

253287384150025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

253287384150025 is the 15915005-th square number.

253287384150025 is the 7957503-rd centered octagonal number.

It is an amenable number.

253287384150025 is a deficient number, since it is larger than the sum of its proper divisors (68715183743948).

253287384150025 is an frugal number, since it uses more digits than its factorization.

253287384150025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 55.

The spelling of 253287384150025 in words is "two hundred fifty-three trillion, two hundred eighty-seven billion, three hundred eighty-four million, one hundred fifty thousand, twenty-five".