2517001601 has 2 divisors, whose sum is σ = 2517001602. Its totient is φ = 2517001600.

The previous prime is 2517001567. The next prime is 2517001609. The reversal of 2517001601 is 1061007152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1333710400 + 1183291201 = 36520^2 + 34399^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2517001601 is a prime.

It is not a weakly prime, because it can be changed into another prime (2517001609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1258500800 + 1258500801.

It is an arithmetic number, because the mean of its divisors is an integer number (1258500801).

Almost surely, 2^2517001601 is an apocalyptic number.

It is an amenable number.

2517001601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2517001601 is an equidigital number, since it uses as much as digits as its factorization.

2517001601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 2517001601 is about 50169.7279342832. The cubic root of 2517001601 is about 1360.2784898622.

Adding to 2517001601 its reverse (1061007152), we get a palindrome (3578008753).

The spelling of 2517001601 in words is "two billion, five hundred seventeen million, one thousand, six hundred one".