257106551 has 16 divisors (see below), whose sum is σ = 285090624. Its totient is φ = 230390784.

The previous prime is 257106539. The next prime is 257106557. The reversal of 257106551 is 155601752.

It is a de Polignac number, because none of the positive numbers 2^k-257106551 is a prime.

It is a super-2 number, since 2×257106551² = 132207557134231202, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257106557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64910 + ... + 68756.

It is an arithmetic number, because the mean of its divisors is an integer number (17818164).

Almost surely, 2^257106551 is an apocalyptic number.

257106551 is a deficient number, since it is larger than the sum of its proper divisors (27984073).

257106551 is a wasteful number, since it uses less digits than its factorization.

257106551 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010.

The product of its (nonzero) digits is 10500, while the sum is 32.

The square root of 257106551 is about 16034.5424318875. The cubic root of 257106551 is about 635.8739704854.

The spelling of 257106551 in words is "two hundred fifty-seven million, one hundred six thousand, five hundred fifty-one".