1242754514521 has 27 divisors (see below), whose sum is σ = 1394179808151. Its totient is φ = 1107226271424.

The previous prime is 1242754514483. The next prime is 1242754514531. The reversal of 1242754514521 is 1254154572421.

The square root of 1242754514521 is 1114789.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1234901010121 + 7853504400 = 1111261^2 + 88620^2 .

It is not a de Polignac number, because 1242754514521 - 2⁹ = 1242754514009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1242754514531) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 420273975 + ... + 420276931.

Almost surely, 2^{1242754514521} is an apocalyptic number.

1242754514521 is the 1114789-th square number.

1242754514521 is the 557395-th centered octagonal number.

It is an amenable number.

1242754514521 is a deficient number, since it is larger than the sum of its proper divisors (151425293630).

1242754514521 is an frugal number, since it uses more digits than its factorization.

1242754514521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5998 (or 2999 counting only the distinct ones).

The product of its digits is 448000, while the sum is 43.

The spelling of 1242754514521 in words is "one trillion, two hundred forty-two billion, seven hundred fifty-four million, five hundred fourteen thousand, five hundred twenty-one".