2597601348257 has 8 divisors (see below), whose sum is σ = 2600607345000. Its totient is φ = 2594596362624.

The previous prime is 2597601348211. The next prime is 2597601348313. The reversal of 2597601348257 is 7528431067952.

It can be written as a sum of positive squares in 4 ways, for example, as 1042602324241 + 1554999024016 = 1021079^2 + 1246996^2 .

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 2597601348257 - 2¹⁴ = 2597601331873 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2597601348196 and 2597601348205.

It is not an unprimeable number, because it can be changed into a prime (2597601348557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4950119 + ... + 5449667.

It is an arithmetic number, because the mean of its divisors is an integer number (325075918125).

It is a 1-persistent number, because it is pandigital, but 2⋅2597601348257 = 5195202696514 is not.

Almost surely, 2^{2597601348257} is an apocalyptic number.

It is an amenable number.

2597601348257 is a deficient number, since it is larger than the sum of its proper divisors (3005996743).

2597601348257 is a wasteful number, since it uses less digits than its factorization.

2597601348257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505555.

The product of its (nonzero) digits is 25401600, while the sum is 59.

The spelling of 2597601348257 in words is "two trillion, five hundred ninety-seven billion, six hundred one million, three hundred forty-eight thousand, two hundred fifty-seven".