253050505025 has 12 divisors (see below), whose sum is σ = 332240428332. Its totient is φ = 190532144640.

The previous prime is 253050504983. The next prime is 253050505039. The reversal of 253050505025 is 520505050352.

It can be written as a sum of positive squares in 6 ways, for example, as 1504121089 + 251546383936 = 38783^2 + 501544^2 .

It is not a de Polignac number, because 253050505025 - 2⁶ = 253050504961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 253050504982 and 253050505000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297706052 + ... + 297706901.

It is an arithmetic number, because the mean of its divisors is an integer number (27686702361).

Almost surely, 2^253050505025 is an apocalyptic number.

253050505025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253050505025 is a deficient number, since it is larger than the sum of its proper divisors (79189923307).

253050505025 is a wasteful number, since it uses less digits than its factorization.

253050505025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595412980 (or 595412975 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 32.

Adding to 253050505025 its reverse (520505050352), we get a palindrome (773555555377).

The spelling of 253050505025 in words is "two hundred fifty-three billion, fifty million, five hundred five thousand, twenty-five".