10597257216001 has 8 divisors (see below), whose sum is σ = 10620745799040. Its totient is φ = 10573771221552.

The previous prime is 10597257215981. The next prime is 10597257216017. The reversal of 10597257216001 is 10061275279501.

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 10597257216001 - 2⁷ = 10597257215873 is a prime.

It is a super-2 number, since 2×10597257216001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10597257216031) 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, 7667811 + ... + 8943703.

It is an arithmetic number, because the mean of its divisors is an integer number (1327593224880).

Almost surely, 2^{10597257216001} is an apocalyptic number.

It is an amenable number.

10597257216001 is a deficient number, since it is larger than the sum of its proper divisors (23488583039).

10597257216001 is a wasteful number, since it uses less digits than its factorization.

10597257216001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294295.

The product of its (nonzero) digits is 264600, while the sum is 46.

The spelling of 10597257216001 in words is "ten trillion, five hundred ninety-seven billion, two hundred fifty-seven million, two hundred sixteen thousand, one".