2553505413001 has 2 divisors, whose sum is σ = 2553505413002. Its totient is φ = 2553505413000.

The previous prime is 2553505412993. The next prime is 2553505413049. The reversal of 2553505413001 is 1003145053552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2550009765625 + 3495647376 = 1596875^2 + 59124^2 .

It is a cyclic number.

It is not a de Polignac number, because 2553505413001 - 2³ = 2553505412993 is a prime.

It is a super-3 number, since 3×2553505413001³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2553505413061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276752706500 + 1276752706501.

It is an arithmetic number, because the mean of its divisors is an integer number (1276752706501).

Almost surely, 2^{2553505413001} is an apocalyptic number.

It is an amenable number.

2553505413001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2553505413001 is an equidigital number, since it uses as much as digits as its factorization.

2553505413001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45000, while the sum is 34.

The spelling of 2553505413001 in words is "two trillion, five hundred fifty-three billion, five hundred five million, four hundred thirteen thousand, one".