2463258053529 has 81 divisors (see below), whose sum is σ = 4482594605853. Its totient is φ = 1299074946624.

The previous prime is 2463258053521. The next prime is 2463258053533. The reversal of 2463258053529 is 9253508523642.

It is a happy number.

The square root of 2463258053529 is 1569477.

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

2463258053529 is a `hidden beast` number, since 2 + 4 + 6 + 3 + 2 + 5 + 80 + 535 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1843498640025 + 619759413504 = 1357755^2 + 787248^2 .

It is not a de Polignac number, because 2463258053529 - 2³ = 2463258053521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2463258053521) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 428464347 + ... + 428470095.

Almost surely, 2^{2463258053529} is an apocalyptic number.

2463258053529 is the 1569477-th square number.

2463258053529 is the 784739-th centered octagonal number.

It is an amenable number.

2463258053529 is a deficient number, since it is larger than the sum of its proper divisors (2019336552324).

2463258053529 is an frugal number, since it uses more digits than its factorization.

2463258053529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11544 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 2463258053529 in words is "two trillion, four hundred sixty-three billion, two hundred fifty-eight million, fifty-three thousand, five hundred twenty-nine".