10342405153521 has 45 divisors (see below), whose sum is σ = 17972528531529. Its totient is φ = 5909830027416.

The previous prime is 10342405153489. The next prime is 10342405153537. The reversal of 10342405153521 is 12535150424301.

The square root of 10342405153521 is 3215961.

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

10342405153521 is a `hidden beast` number, since 1 + 0 + 3 + 42 + 40 + 5 + 1 + 53 + 521 = 666.

It is not a de Polignac number, because 10342405153521 - 2⁵ = 10342405153489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10342405153721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 202580020 + ... + 202631066.

Almost surely, 2^{10342405153521} is an apocalyptic number.

10342405153521 is the 3215961-st square number.

10342405153521 is the 1607981-st centered octagonal number.

It is an amenable number.

10342405153521 is a deficient number, since it is larger than the sum of its proper divisors (7630123378008).

10342405153521 is an frugal number, since it uses more digits than its factorization.

10342405153521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102120 (or 51057 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Multiplying 10342405153521 by its sum of digits (36), we get a square (372326585526756 = 19295766²).

Adding to 10342405153521 its reverse (12535150424301), we get a palindrome (22877555577822).

The spelling of 10342405153521 in words is "ten trillion, three hundred forty-two billion, four hundred five million, one hundred fifty-three thousand, five hundred twenty-one".