25257205740661 has 8 divisors (see below), whose sum is σ = 25303097977344. Its totient is φ = 25211346114000.

The previous prime is 25257205740653. The next prime is 25257205740743. The reversal of 25257205740661 is 16604750275252.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 25257205740661 - 2³ = 25257205740653 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 25257205740599 and 25257205740608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25257205740961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6601786 + ... + 9700411.

It is an arithmetic number, because the mean of its divisors is an integer number (3162887247168).

Almost surely, 2^{25257205740661} is an apocalyptic number.

It is an amenable number.

25257205740661 is a deficient number, since it is larger than the sum of its proper divisors (45892236683).

25257205740661 is a wasteful number, since it uses less digits than its factorization.

25257205740661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16305011.

The product of its (nonzero) digits is 7056000, while the sum is 52.

The spelling of 25257205740661 in words is "twenty-five trillion, two hundred fifty-seven billion, two hundred five million, seven hundred forty thousand, six hundred sixty-one".