2541512890153 has 2 divisors, whose sum is σ = 2541512890154. Its totient is φ = 2541512890152.

The previous prime is 2541512890139. The next prime is 2541512890157. The reversal of 2541512890153 is 3510982151452.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2457034305049 + 84478585104 = 1567493^2 + 290652^2 .

It is a cyclic number.

It is not a de Polignac number, because 2541512890153 - 2¹³ = 2541512881961 is a prime.

It is not a weakly prime, because it can be changed into another prime (2541512890157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270756445076 + 1270756445077.

It is an arithmetic number, because the mean of its divisors is an integer number (1270756445077).

Almost surely, 2^{2541512890153} is an apocalyptic number.

It is an amenable number.

2541512890153 is a deficient number, since it is larger than the sum of its proper divisors (1).

2541512890153 is an equidigital number, since it uses as much as digits as its factorization.

2541512890153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432000, while the sum is 46.

The spelling of 2541512890153 in words is "two trillion, five hundred forty-one billion, five hundred twelve million, eight hundred ninety thousand, one hundred fifty-three".