3013525874401 has 9 divisors (see below), whose sum is σ = 3505544234451. Its totient is φ = 2583011762352.

The previous prime is 3013525874377. The next prime is 3013525874441. The reversal of 3013525874401 is 1044785253103.

It is a happy number.

The square root of 3013525874401 is 1735951.

It is a perfect power (a square), and thus also a powerful number.

3013525874401 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 only one way, i.e., 2732227173025 + 281298701376 = 1652945^2 + 530376^2 .

It is not a de Polignac number, because 3013525874401 - 2²³ = 3013517485793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3013525874441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12027661 + ... + 12275653.

It is an arithmetic number, because the mean of its divisors is an integer number (389504914939).

Almost surely, 2^{3013525874401} is an apocalyptic number.

3013525874401 is the 1735951-st square number.

3013525874401 is the 867976-th centered octagonal number.

It is an amenable number.

3013525874401 is a deficient number, since it is larger than the sum of its proper divisors (492018360050).

3013525874401 is an frugal number, since it uses more digits than its factorization.

3013525874401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496000 (or 248000 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 3013525874401 in words is "three trillion, thirteen billion, five hundred twenty-five million, eight hundred seventy-four thousand, four hundred one".