257533457451561 has 6 divisors (see below), whose sum is σ = 371992771874490. Its totient is φ = 171688971634368.

The previous prime is 257533457451553. The next prime is 257533457451593. The reversal of 257533457451561 is 165154754335752.

257533457451561 is a `hidden beast` number, since 2 + 5 + 7 + 5 + 3 + 3 + 4 + 57 + 4 + 515 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 254662232259600 + 2871225191961 = 15958140^2 + 1694469^2 .

It is not a de Polignac number, because 257533457451561 - 2³ = 257533457451553 is a prime.

It is a super-2 number, since 2×257533457451561² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257533457451511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14307414302856 + ... + 14307414302873.

It is an arithmetic number, because the mean of its divisors is an integer number (61998795312415).

Almost surely, 2^{257533457451561} is an apocalyptic number.

It is an amenable number.

257533457451561 is a deficient number, since it is larger than the sum of its proper divisors (114459314422929).

257533457451561 is a wasteful number, since it uses less digits than its factorization.

257533457451561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28614828605735 (or 28614828605732 counting only the distinct ones).

The product of its digits is 264600000, while the sum is 63.

The spelling of 257533457451561 in words is "two hundred fifty-seven trillion, five hundred thirty-three billion, four hundred fifty-seven million, four hundred fifty-one thousand, five hundred sixty-one".