75257641 has 2 divisors, whose sum is σ = 75257642. Its totient is φ = 75257640.

The previous prime is 75257617. The next prime is 75257659. The reversal of 75257641 is 14675257.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73462041 + 1795600 = 8571^2 + 1340^2 .

It is an emirp because it is prime and its reverse (14675257) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-75257641 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 75257641.

It is not a weakly prime, because it can be changed into another prime (75251641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37628820 + 37628821.

It is an arithmetic number, because the mean of its divisors is an integer number (37628821).

Almost surely, 2^75257641 is an apocalyptic number.

It is an amenable number.

75257641 is a deficient number, since it is larger than the sum of its proper divisors (1).

75257641 is an equidigital number, since it uses as much as digits as its factorization.

75257641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 58800, while the sum is 37.

The square root of 75257641 is about 8675.1161951872. The cubic root of 75257641 is about 422.1986759440.

The spelling of 75257641 in words is "seventy-five million, two hundred fifty-seven thousand, six hundred forty-one".