256541153653 has 2 divisors, whose sum is σ = 256541153654. Its totient is φ = 256541153652.

The previous prime is 256541153629. The next prime is 256541153657. The reversal of 256541153653 is 356351145652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255770924644 + 770229009 = 505738^2 + 27753^2 .

It is a cyclic number.

It is not a de Polignac number, because 256541153653 - 2¹³ = 256541145461 is a prime.

It is a super-2 number, since 2×256541153653² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (256541153657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128270576826 + 128270576827.

It is an arithmetic number, because the mean of its divisors is an integer number (128270576827).

Almost surely, 2^256541153653 is an apocalyptic number.

It is an amenable number.

256541153653 is a deficient number, since it is larger than the sum of its proper divisors (1).

256541153653 is an equidigital number, since it uses as much as digits as its factorization.

256541153653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1620000, while the sum is 46.

The spelling of 256541153653 in words is "two hundred fifty-six billion, five hundred forty-one million, one hundred fifty-three thousand, six hundred fifty-three".