2582013542401 has 8 divisors (see below), whose sum is σ = 2752244994600. Its totient is φ = 2413820790528.

The previous prime is 2582013542393. The next prime is 2582013542411. The reversal of 2582013542401 is 1042453102852.

It can be written as a sum of positive squares in 4 ways, for example, as 285288447376 + 2296725095025 = 534124^2 + 1515495^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2582013542401 - 2³ = 2582013542393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2582013542411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509672466 + ... + 509677531.

It is an arithmetic number, because the mean of its divisors is an integer number (344030624325).

It is a Proth number, since it is equal to 38475 ⋅ 2²⁶ + 1 and 38475 < 2²⁶.

Almost surely, 2^{2582013542401} is an apocalyptic number.

It is an amenable number.

2582013542401 is a deficient number, since it is larger than the sum of its proper divisors (170231452199).

2582013542401 is a wasteful number, since it uses less digits than its factorization.

2582013542401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019350163.

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 2582013542401 in words is "two trillion, five hundred eighty-two billion, thirteen million, five hundred forty-two thousand, four hundred one".