76657541201 has 2 divisors, whose sum is σ = 76657541202. Its totient is φ = 76657541200.

The previous prime is 76657541141. The next prime is 76657541203. The reversal of 76657541201 is 10214575667.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66848619601 + 9808921600 = 258551^2 + 99040^2 .

It is a cyclic number.

It is not a de Polignac number, because 76657541201 - 2³⁰ = 75583799377 is a prime.

Together with 76657541203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (76657541203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38328770600 + 38328770601.

It is an arithmetic number, because the mean of its divisors is an integer number (38328770601).

Almost surely, 2^76657541201 is an apocalyptic number.

It is an amenable number.

76657541201 is a deficient number, since it is larger than the sum of its proper divisors (1).

76657541201 is an equidigital number, since it uses as much as digits as its factorization.

76657541201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 352800, while the sum is 44.

The spelling of 76657541201 in words is "seventy-six billion, six hundred fifty-seven million, five hundred forty-one thousand, two hundred one".