2505312821124 has 27 divisors (see below), whose sum is σ = 6332898081783. Its totient is φ = 835101108072.

The previous prime is 2505312821111. The next prime is 2505312821197. The reversal of 2505312821124 is 4211282135052.

The square root of 2505312821124 is 1582818.

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

2505312821124 is a `hidden beast` number, since 2 + 5 + 0 + 531 + 2 + 8 + 2 + 112 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9365007 + ... + 9628809.

Almost surely, 2^{2505312821124} is an apocalyptic number.

2505312821124 is the 1582818-th square number.

It is an amenable number.

2505312821124 is an abundant number, since it is smaller than the sum of its proper divisors (3827585260659).

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

2505312821124 is an frugal number, since it uses more digits than its factorization.

2505312821124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527616 (or 263808 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Multiplying 2505312821124 by its sum of digits (36), we get a square (90191261560464 = 9496908²).

2505312821124 divided by its sum of digits (36) gives a square (69592022809 = 263803²).

Adding to 2505312821124 its reverse (4211282135052), we get a palindrome (6716594956176).

The spelling of 2505312821124 in words is "two trillion, five hundred five billion, three hundred twelve million, eight hundred twenty-one thousand, one hundred twenty-four".