251616013025 has 24 divisors (see below), whose sum is σ = 336231672504. Its totient is φ = 185682931200.

The previous prime is 251616013009. The next prime is 251616013037. The reversal of 251616013025 is 520310616152.

It can be written as a sum of positive squares in 12 ways, for example, as 47217986209 + 204398026816 = 217297^2 + 452104^2 .

It is not a de Polignac number, because 251616013025 - 2⁴ = 251616013009 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 251616012982 and 251616013000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219947 + ... + 742703.

It is an arithmetic number, because the mean of its divisors is an integer number (14009653021).

Almost surely, 2^251616013025 is an apocalyptic number.

251616013025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

251616013025 is a deficient number, since it is larger than the sum of its proper divisors (84615659479).

251616013025 is a wasteful number, since it uses less digits than its factorization.

251616013025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524261 (or 524256 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

Adding to 251616013025 its reverse (520310616152), we get a palindrome (771926629177).

The spelling of 251616013025 in words is "two hundred fifty-one billion, six hundred sixteen million, thirteen thousand, twenty-five".