2653514131001 has 2 divisors, whose sum is σ = 2653514131002. Its totient is φ = 2653514131000.

The previous prime is 2653514130977. The next prime is 2653514131057. The reversal of 2653514131001 is 1001314153562.

2653514131001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1638208005625 + 1015306125376 = 1279925^2 + 1007624^2 .

It is a cyclic number.

It is not a de Polignac number, because 2653514131001 - 2⁶ = 2653514130937 is a prime.

It is a super-2 number, since 2×2653514131001² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2653514131901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1326757065500 + 1326757065501.

It is an arithmetic number, because the mean of its divisors is an integer number (1326757065501).

Almost surely, 2^{2653514131001} is an apocalyptic number.

It is an amenable number.

2653514131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2653514131001 is an equidigital number, since it uses as much as digits as its factorization.

2653514131001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 32.

Adding to 2653514131001 its reverse (1001314153562), we get a palindrome (3654828284563).

The spelling of 2653514131001 in words is "two trillion, six hundred fifty-three billion, five hundred fourteen million, one hundred thirty-one thousand, one".