2511242400001 has 2 divisors, whose sum is σ = 2511242400002. Its totient is φ = 2511242400000.

The previous prime is 2511242399971. The next prime is 2511242400019. The reversal of 2511242400001 is 1000042421152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2484075449025 + 27166950976 = 1576095^2 + 164824^2 .

It is a cyclic number.

It is not a de Polignac number, because 2511242400001 - 2⁵ = 2511242399969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2511242400091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1255621200000 + 1255621200001.

It is an arithmetic number, because the mean of its divisors is an integer number (1255621200001).

Almost surely, 2^{2511242400001} is an apocalyptic number.

It is an amenable number.

2511242400001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2511242400001 is an equidigital number, since it uses as much as digits as its factorization.

2511242400001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 2511242400001 its reverse (1000042421152), we get a palindrome (3511284821153).

The spelling of 2511242400001 in words is "two trillion, five hundred eleven billion, two hundred forty-two million, four hundred thousand, one".