25642221363153 has 20 divisors (see below), whose sum is σ = 38735440522020. Its totient is φ = 16902737672832.

The previous prime is 25642221363049. The next prime is 25642221363173. The reversal of 25642221363153 is 35136312224652.

25642221363153 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 2 + 2 + 2 + 1 + 3 + 631 + 5 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14685273986769 + 10956947376384 = 3832137^2 + 3310128^2 .

It is not a de Polignac number, because 25642221363153 - 2¹³ = 25642221354961 is a prime.

It is a super-2 number, since 2×25642221363153² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25642221363099 and 25642221363108.

It is not an unprimeable number, because it can be changed into a prime (25642221363173) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1778479500 + ... + 1778493917.

It is an arithmetic number, because the mean of its divisors is an integer number (1936772026101).

Almost surely, 2^{25642221363153} is an apocalyptic number.

It is an amenable number.

25642221363153 is a deficient number, since it is larger than the sum of its proper divisors (13093219158867).

25642221363153 is an equidigital number, since it uses as much as digits as its factorization.

25642221363153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556973518 (or 3556973509 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The spelling of 25642221363153 in words is "twenty-five trillion, six hundred forty-two billion, two hundred twenty-one million, three hundred sixty-three thousand, one hundred fifty-three".