2042510653657 has 2 divisors, whose sum is σ = 2042510653658. Its totient is φ = 2042510653656.

The previous prime is 2042510653597. The next prime is 2042510653847. The reversal of 2042510653657 is 7563560152402.

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., 1145694077641 + 896816576016 = 1070371^2 + 947004^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042510653657 - 2¹⁵ = 2042510620889 is a prime.

It is not a weakly prime, because it can be changed into another prime (2042510653957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021255326828 + 1021255326829.

It is an arithmetic number, because the mean of its divisors is an integer number (1021255326829).

Almost surely, 2^{2042510653657} is an apocalyptic number.

It is an amenable number.

2042510653657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042510653657 is an equidigital number, since it uses as much as digits as its factorization.

2042510653657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512000, while the sum is 46.

The spelling of 2042510653657 in words is "two trillion, forty-two billion, five hundred ten million, six hundred fifty-three thousand, six hundred fifty-seven".