501616352404957 has 2 divisors, whose sum is σ = 501616352404958. Its totient is φ = 501616352404956.

The previous prime is 501616352404903. The next prime is 501616352405039. The reversal of 501616352404957 is 759404253616105.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 499519862703481 + 2096489701476 = 22349941^2 + 1447926^2 .

It is a cyclic number.

It is not a de Polignac number, because 501616352404957 - 2⁴⁷ = 360878864049629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (501616352405957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 250808176202478 + 250808176202479.

It is an arithmetic number, because the mean of its divisors is an integer number (250808176202479).

Almost surely, 2^{501616352404957} is an apocalyptic number.

It is an amenable number.

501616352404957 is a deficient number, since it is larger than the sum of its proper divisors (1).

501616352404957 is an equidigital number, since it uses as much as digits as its factorization.

501616352404957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216000, while the sum is 58.

The spelling of 501616352404957 in words is "five hundred one trillion, six hundred sixteen billion, three hundred fifty-two million, four hundred four thousand, nine hundred fifty-seven".