2045729657 has 2 divisors, whose sum is σ = 2045729658. Its totient is φ = 2045729656.

The previous prime is 2045729627. The next prime is 2045729689. The reversal of 2045729657 is 7569275402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2036175376 + 9554281 = 45124^2 + 3091^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2045729657 is a prime.

It is not a weakly prime, because it can be changed into another prime (2045729617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1022864828 + 1022864829.

It is an arithmetic number, because the mean of its divisors is an integer number (1022864829).

Almost surely, 2^2045729657 is an apocalyptic number.

It is an amenable number.

2045729657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2045729657 is an equidigital number, since it uses as much as digits as its factorization.

2045729657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1058400, while the sum is 47.

The square root of 2045729657 is about 45229.7430569752. The cubic root of 2045729657 is about 1269.4514044100.

The spelling of 2045729657 in words is "two billion, forty-five million, seven hundred twenty-nine thousand, six hundred fifty-seven".