2505525300553 has 32 divisors (see below), whose sum is σ = 3001026672000. Its totient is φ = 2064900203520.

The previous prime is 2505525300547. The next prime is 2505525300563. The reversal of 2505525300553 is 3550035255052.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-2505525300553 is a prime.

It is a super-2 number, since 2×2505525300553² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2505525300563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1720903 + ... + 2823571.

It is an arithmetic number, because the mean of its divisors is an integer number (93782083500).

Almost surely, 2^{2505525300553} is an apocalyptic number.

It is an amenable number.

2505525300553 is a deficient number, since it is larger than the sum of its proper divisors (495501371447).

2505525300553 is a wasteful number, since it uses less digits than its factorization.

2505525300553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103145.

The product of its (nonzero) digits is 562500, while the sum is 40.

The spelling of 2505525300553 in words is "two trillion, five hundred five billion, five hundred twenty-five million, three hundred thousand, five hundred fifty-three".