25906012761257 has 16 divisors (see below), whose sum is σ = 26671947301824. Its totient is φ = 25143551496000.

The previous prime is 25906012761247. The next prime is 25906012761287. The reversal of 25906012761257 is 75216721060952.

It is a cyclic number.

It is not a de Polignac number, because 25906012761257 - 2⁴² = 21507966250153 is a prime.

It is a super-2 number, since 2×25906012761257² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 25906012761199 and 25906012761208.

It is not an unprimeable number, because it can be changed into a prime (25906012761227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173312882 + ... + 173462292.

It is an arithmetic number, because the mean of its divisors is an integer number (1666996706364).

Almost surely, 2^{25906012761257} is an apocalyptic number.

It is an amenable number.

25906012761257 is a deficient number, since it is larger than the sum of its proper divisors (765934540567).

25906012761257 is a wasteful number, since it uses less digits than its factorization.

25906012761257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161000.

The product of its (nonzero) digits is 3175200, while the sum is 53.

The spelling of 25906012761257 in words is "twenty-five trillion, nine hundred six billion, twelve million, seven hundred sixty-one thousand, two hundred fifty-seven".