2581751607041 has 2 divisors, whose sum is σ = 2581751607042. Its totient is φ = 2581751607040.

The previous prime is 2581751607037. The next prime is 2581751607073. The reversal of 2581751607041 is 1407061571852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1922604096400 + 659147510641 = 1386580^2 + 811879^2 .

It is a cyclic number.

It is not a de Polignac number, because 2581751607041 - 2² = 2581751607037 is a prime.

It is not a weakly prime, because it can be changed into another prime (2581751607011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1290875803520 + 1290875803521.

It is an arithmetic number, because the mean of its divisors is an integer number (1290875803521).

Almost surely, 2^{2581751607041} is an apocalyptic number.

It is an amenable number.

2581751607041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2581751607041 is an equidigital number, since it uses as much as digits as its factorization.

2581751607041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 470400, while the sum is 47.

The spelling of 2581751607041 in words is "two trillion, five hundred eighty-one billion, seven hundred fifty-one million, six hundred seven thousand, forty-one".