2523935660401 has 8 divisors (see below), whose sum is σ = 2674847499624. Its totient is φ = 2373295491840.

The previous prime is 2523935660353. The next prime is 2523935660423. The reversal of 2523935660401 is 1040665393252.

2523935660401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 646816454001 + 1877119206400 = 804249^2 + 1370080^2 .

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 2523935660401 - 2⁷ = 2523935660273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2523935660101) 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, 67898530 + ... + 67935691.

It is an arithmetic number, because the mean of its divisors is an integer number (334355937453).

Almost surely, 2^{2523935660401} is an apocalyptic number.

It is an amenable number.

2523935660401 is a deficient number, since it is larger than the sum of its proper divisors (150911839223).

2523935660401 is a wasteful number, since it uses less digits than its factorization.

2523935660401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135835331.

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 2523935660401 in words is "two trillion, five hundred twenty-three billion, nine hundred thirty-five million, six hundred sixty thousand, four hundred one".