257067117072653 has 8 divisors (see below), whose sum is σ = 259412121240696. Its totient is φ = 254723342272000.

The previous prime is 257067117072527. The next prime is 257067117072697. The reversal of 257067117072653 is 356270711760752.

It can be written as a sum of positive squares in 4 ways, for example, as 4197265930729 + 252869851141924 = 2048723^2 + 15901882^2 .

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 257067117072653 - 2³⁶ = 256998397595917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 257067117072592 and 257067117072601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257067117072253) 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, 306921728 + ... + 307758153.

It is an arithmetic number, because the mean of its divisors is an integer number (32426515155087).

Almost surely, 2^{257067117072653} is an apocalyptic number.

It is an amenable number.

257067117072653 is a deficient number, since it is larger than the sum of its proper divisors (2345004168043).

257067117072653 is a wasteful number, since it uses less digits than its factorization.

257067117072653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614683695.

The product of its (nonzero) digits is 25930800, while the sum is 59.

The spelling of 257067117072653 in words is "two hundred fifty-seven trillion, sixty-seven billion, one hundred seventeen million, seventy-two thousand, six hundred fifty-three".