25042205133 has 48 divisors (see below), whose sum is σ = 41447694400. Its totient is φ = 14928170400.

The previous prime is 25042205129. The next prime is 25042205137. The reversal of 25042205133 is 33150224052.

It is a happy number.

25042205133 is a `hidden beast` number, since 2 + 504 + 2 + 20 + 5 + 133 = 666.

It is an interprime number because it is at equal distance from previous prime (25042205129) and next prime (25042205137).

It is not a de Polignac number, because 25042205133 - 2² = 25042205129 is a prime.

It is a super-2 number, since 2×25042205133² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 25042205097 and 25042205106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25042205137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136458 + ... + 262116.

Almost surely, 2^25042205133 is an apocalyptic number.

It is an amenable number.

25042205133 is a deficient number, since it is larger than the sum of its proper divisors (16405489267).

25042205133 is a wasteful number, since it uses less digits than its factorization.

25042205133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125751 (or 125734 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 25042205133 its reverse (33150224052), we get a palindrome (58192429185).

The spelling of 25042205133 in words is "twenty-five billion, forty-two million, two hundred five thousand, one hundred thirty-three".