2505001601 has 2 divisors, whose sum is σ = 2505001602. Its totient is φ = 2505001600.

The previous prime is 2505001567. The next prime is 2505001607. The reversal of 2505001601 is 1061005052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1445824576 + 1059177025 = 38024^2 + 32545^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505001601 - 2²² = 2500807297 is a prime.

It is not a weakly prime, because it can be changed into another prime (2505001607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252500800 + 1252500801.

It is an arithmetic number, because the mean of its divisors is an integer number (1252500801).

Almost surely, 2^2505001601 is an apocalyptic number.

It is an amenable number.

2505001601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505001601 is an equidigital number, since it uses as much as digits as its factorization.

2505001601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 2505001601 is about 50049.9910189802. The cubic root of 2505001601 is about 1358.1133009682.

Adding to 2505001601 its reverse (1061005052), we get a palindrome (3566006653).

The spelling of 2505001601 in words is "two billion, five hundred five million, one thousand, six hundred one".