1252631024100 has 81 divisors (see below), whose sum is σ = 3926407600297. Its totient is φ = 334025986080.

The previous prime is 1252631024093. The next prime is 1252631024111. The reversal of 1252631024100 is 14201362521.

The square root of 1252631024100 is 1119210.

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

1252631024100 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 631 + 0 + 24 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 450947168676 + 801683855424 = 671526^2 + 895368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33557647 + ... + 33594953.

Almost surely, 2^{1252631024100} is an apocalyptic number.

1252631024100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1252631024100 is the 1119210-th square number.

It is an amenable number.

1252631024100 is an abundant number, since it is smaller than the sum of its proper divisors (2673776576197).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1252631024100 is an frugal number, since it uses more digits than its factorization.

1252631024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74634 (or 37317 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1252631024100 its reverse (14201362521), we get a palindrome (1266832386621).

The spelling of 1252631024100 in words is "one trillion, two hundred fifty-two billion, six hundred thirty-one million, twenty-four thousand, one hundred".