2505305300553 has 24 divisors (see below), whose sum is σ = 4054449861696. Its totient is φ = 1477329904800.

The previous prime is 2505305300539. The next prime is 2505305300573. The reversal of 2505305300553 is 3550035035052.

2505305300553 is a `hidden beast` number, since 2 + 5 + 0 + 53 + 0 + 53 + 0 + 0 + 553 = 666.

It is not a de Polignac number, because 2505305300553 - 2⁹ = 2505305300041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2505305300573) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341970853 + ... + 341978178.

It is an arithmetic number, because the mean of its divisors is an integer number (168935410904).

Almost surely, 2^{2505305300553} is an apocalyptic number.

It is an amenable number.

2505305300553 is a deficient number, since it is larger than the sum of its proper divisors (1549144561143).

2505305300553 is a wasteful number, since it uses less digits than its factorization.

2505305300553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683949085 (or 683949082 counting only the distinct ones).

The product of its (nonzero) digits is 168750, while the sum is 36.

The spelling of 2505305300553 in words is "two trillion, five hundred five billion, three hundred five million, three hundred thousand, five hundred fifty-three".