257101541 has 2 divisors, whose sum is σ = 257101542. Its totient is φ = 257101540.

The previous prime is 257101477. The next prime is 257101561. The reversal of 257101541 is 145101752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154504900 + 102596641 = 12430^2 + 10129^2 .

It is a cyclic number.

It is not a de Polignac number, because 257101541 - 2⁶ = 257101477 is a prime.

It is a super-2 number, since 2×257101541² = 132202404769149362, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 257101541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257101561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128550770 + 128550771.

It is an arithmetic number, because the mean of its divisors is an integer number (128550771).

Almost surely, 2^257101541 is an apocalyptic number.

It is an amenable number.

257101541 is a deficient number, since it is larger than the sum of its proper divisors (1).

257101541 is an equidigital number, since it uses as much as digits as its factorization.

257101541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 257101541 is about 16034.3862059014. The cubic root of 257101541 is about 635.8698402273.

The spelling of 257101541 in words is "two hundred fifty-seven million, one hundred one thousand, five hundred forty-one".