75200000257 has 2 divisors, whose sum is σ = 75200000258. Its totient is φ = 75200000256.

The previous prime is 75200000177. The next prime is 75200000303.

75200000257 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58310658576 + 16889341681 = 241476^2 + 129959^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 75200000257 - 2³¹ = 73052516609 is a prime.

It is not a weakly prime, because it can be changed into another prime (75201000257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37600000128 + 37600000129.

It is an arithmetic number, because the mean of its divisors is an integer number (37600000129).

Almost surely, 2^75200000257 is an apocalyptic number.

It is an amenable number.

75200000257 is a deficient number, since it is larger than the sum of its proper divisors (1).

75200000257 is an equidigital number, since it uses as much as digits as its factorization.

75200000257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4900, while the sum is 28.

It can be divided in two parts, 75200000 and 257, that added together give a palindrome (75200257).

The spelling of 75200000257 in words is "seventy-five billion, two hundred million, two hundred fifty-seven", and thus it is an aban number.