2541523520151 has 192 divisors, whose sum is σ = 4679830471680. Its totient is φ = 1290967787520.

The previous prime is 2541523520131. The next prime is 2541523520171. The reversal of 2541523520151 is 1510253251452.

2541523520151 is a `hidden beast` number, since 2 + 5 + 4 + 152 + 352 + 0 + 151 = 666.

It is an interprime number because it is at equal distance from previous prime (2541523520131) and next prime (2541523520171).

It is not a de Polignac number, because 2541523520151 - 2²⁶ = 2541456411287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541523520101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4105853520 + ... + 4105854138.

It is an arithmetic number, because the mean of its divisors is an integer number (24374117040).

Almost surely, 2^{2541523520151} is an apocalyptic number.

2541523520151 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2541523520151 is a deficient number, since it is larger than the sum of its proper divisors (2138306951529).

2541523520151 is a wasteful number, since it uses less digits than its factorization.

2541523520151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 2541523520151 in words is "two trillion, five hundred forty-one billion, five hundred twenty-three million, five hundred twenty thousand, one hundred fifty-one".