253235400625 has 15 divisors (see below), whose sum is σ = 316458678151. Its totient is φ = 202578256000.

The previous prime is 253235400623. The next prime is 253235400637. The reversal of 253235400625 is 526004532352.

The square root of 253235400625 is 503225.

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

It can be written as a sum of positive squares in 7 ways, for example, as 82976835249 + 170258565376 = 288057^2 + 412624^2 .

It is not a de Polignac number, because 253235400625 - 2¹ = 253235400623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253235400623) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12570561 + ... + 12590689.

Almost surely, 2^253235400625 is an apocalyptic number.

253235400625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

253235400625 is the 503225-th square number.

253235400625 is the 251613-rd centered octagonal number.

It is an amenable number.

253235400625 is a deficient number, since it is larger than the sum of its proper divisors (63223277526).

253235400625 is an frugal number, since it uses more digits than its factorization.

253235400625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40278 (or 20134 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 37.

Adding to 253235400625 its reverse (526004532352), we get a palindrome (779239932977).

The spelling of 253235400625 in words is "two hundred fifty-three billion, two hundred thirty-five million, four hundred thousand, six hundred twenty-five".