6257626256257 has 8 divisors (see below), whose sum is σ = 6473491828200. Its totient is φ = 6041766374784.

The previous prime is 6257626256191. The next prime is 6257626256347. The reversal of 6257626256257 is 7526526267526.

It can be written as a sum of positive squares in 4 ways, for example, as 1012903357761 + 5244722898496 = 1006431^2 + 2290136^2 .

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 6257626256257 - 2¹⁵ = 6257626223489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6257626256195 and 6257626256204.

It is not an unprimeable number, because it can be changed into a prime (6257626253257) 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, 877719 + ... + 3644947.

It is an arithmetic number, because the mean of its divisors is an integer number (809186478525).

Almost surely, 2^{6257626256257} is an apocalyptic number.

It is an amenable number.

6257626256257 is a deficient number, since it is larger than the sum of its proper divisors (215865571943).

6257626256257 is a wasteful number, since it uses less digits than its factorization.

6257626256257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845235.

The product of its digits is 127008000, while the sum is 61.

The spelling of 6257626256257 in words is "six trillion, two hundred fifty-seven billion, six hundred twenty-six million, two hundred fifty-six thousand, two hundred fifty-seven".