2004751157 has 2 divisors, whose sum is σ = 2004751158. Its totient is φ = 2004751156.

The previous prime is 2004751141. The next prime is 2004751159. The reversal of 2004751157 is 7511574002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1264584721 + 740166436 = 35561^2 + 27206^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004751157 - 2⁴ = 2004751141 is a prime.

Together with 2004751159, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2004751159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002375578 + 1002375579.

It is an arithmetic number, because the mean of its divisors is an integer number (1002375579).

Almost surely, 2^2004751157 is an apocalyptic number.

It is an amenable number.

2004751157 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004751157 is an equidigital number, since it uses as much as digits as its factorization.

2004751157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 2004751157 is about 44774.4475901155. The cubic root of 2004751157 is about 1260.9179413657.

The spelling of 2004751157 in words is "two billion, four million, seven hundred fifty-one thousand, one hundred fifty-seven".