2567380061821 has 2 divisors, whose sum is σ = 2567380061822. Its totient is φ = 2567380061820.

The previous prime is 2567380061761. The next prime is 2567380061929. The reversal of 2567380061821 is 1281600837652.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2557856448900 + 9523612921 = 1599330^2 + 97589^2 .

It is a cyclic number.

It is not a de Polignac number, because 2567380061821 - 2¹¹ = 2567380059773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2567380011821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1283690030910 + 1283690030911.

It is an arithmetic number, because the mean of its divisors is an integer number (1283690030911).

Almost surely, 2^{2567380061821} is an apocalyptic number.

It is an amenable number.

2567380061821 is a deficient number, since it is larger than the sum of its proper divisors (1).

2567380061821 is an equidigital number, since it uses as much as digits as its factorization.

2567380061821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 2567380061821 in words is "two trillion, five hundred sixty-seven billion, three hundred eighty million, sixty-one thousand, eight hundred twenty-one".