252500500025 has 12 divisors (see below), whose sum is σ = 313132550124. Its totient is φ = 201979800000.

The previous prime is 252500499983. The next prime is 252500500037. The reversal of 252500500025 is 520005005252.

It can be written as a sum of positive squares in 6 ways, for example, as 67155612736 + 185344887289 = 259144^2 + 430517^2 .

It is not a de Polignac number, because 252500500025 - 2¹⁶ = 252500434489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 252500499967 and 252500500003.

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, 262526 + ... + 757575.

It is an arithmetic number, because the mean of its divisors is an integer number (26094379177).

Almost surely, 2^252500500025 is an apocalyptic number.

252500500025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252500500025 is a deficient number, since it is larger than the sum of its proper divisors (60632050099).

252500500025 is a wasteful number, since it uses less digits than its factorization.

252500500025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030012 (or 1030007 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 26.

Adding to 252500500025 its reverse (520005005252), we get a palindrome (772505505277).

It can be divided in two parts, 25 and 2500500025, that multiplied together give a square (62512500625 = 250025²).

The spelling of 252500500025 in words is "two hundred fifty-two billion, five hundred million, five hundred thousand, twenty-five".