25453310516253 has 48 divisors (see below), whose sum is σ = 37475400458496. Its totient is φ = 16643613127680.

The previous prime is 25453310516147. The next prime is 25453310516279. The reversal of 25453310516253 is 35261501335452.

25453310516253 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 3 + 3 + 10 + 5 + 1 + 625 + 3 = 666.

It is not a de Polignac number, because 25453310516253 - 2³⁰ = 25452236774429 is a prime.

It is a super-2 number, since 2×25453310516253² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25453310516199 and 25453310516208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25453310516353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1415873001 + ... + 1415890977.

It is an arithmetic number, because the mean of its divisors is an integer number (780737509552).

Almost surely, 2^{25453310516253} is an apocalyptic number.

It is an amenable number.

25453310516253 is a deficient number, since it is larger than the sum of its proper divisors (12022089942243).

25453310516253 is a wasteful number, since it uses less digits than its factorization.

25453310516253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28034 (or 28031 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 25453310516253 in words is "twenty-five trillion, four hundred fifty-three billion, three hundred ten million, five hundred sixteen thousand, two hundred fifty-three".