25251105002661 has 48 divisors (see below), whose sum is σ = 37450399896000. Its totient is φ = 16385273130240.

The previous prime is 25251105002659. The next prime is 25251105002689. The reversal of 25251105002661 is 16620050115252.

25251105002661 is a `hidden beast` number, since 2 + 525 + 1 + 1 + 0 + 50 + 0 + 26 + 61 = 666.

It is not a de Polignac number, because 25251105002661 - 2¹ = 25251105002659 is a prime.

It is a super-2 number, since 2×25251105002661² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25251105002861) 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, 616265971 + ... + 616306943.

It is an arithmetic number, because the mean of its divisors is an integer number (780216664500).

Almost surely, 2^{25251105002661} is an apocalyptic number.

It is an amenable number.

25251105002661 is a deficient number, since it is larger than the sum of its proper divisors (12199294893339).

25251105002661 is a wasteful number, since it uses less digits than its factorization.

25251105002661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44866 (or 44863 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 25251105002661 in words is "twenty-five trillion, two hundred fifty-one billion, one hundred five million, two thousand, six hundred sixty-one".