253261360125 has 64 divisors (see below), whose sum is σ = 480907814400. Its totient is φ = 131422046400.

The previous prime is 253261360061. The next prime is 253261360127. The reversal of 253261360125 is 521063162352.

253261360125 is a `hidden beast` number, since 2 + 5 + 3 + 26 + 1 + 3 + 601 + 25 = 666.

It is not a de Polignac number, because 253261360125 - 2⁶ = 253261360061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 253261360125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253261360127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 889185 + ... + 1138934.

It is an arithmetic number, because the mean of its divisors is an integer number (7514184600).

Almost surely, 2^253261360125 is an apocalyptic number.

253261360125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253261360125 is a deficient number, since it is larger than the sum of its proper divisors (227646454275).

253261360125 is a wasteful number, since it uses less digits than its factorization.

253261360125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028180 (or 2028164 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 253261360125 in words is "two hundred fifty-three billion, two hundred sixty-one million, three hundred sixty thousand, one hundred twenty-five".