2553353504 has 48 divisors (see below), whose sum is σ = 5469497208. Its totient is φ = 1166303232.

The previous prime is 2553353503. The next prime is 2553353507. The reversal of 2553353504 is 4053533552.

It can be written as a sum of positive squares in 4 ways, for example, as 884467600 + 1668885904 = 29740^2 + 40852^2 .

It is a super-2 number, since 2×2553353504² = 13039228232778156032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2553353501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8714 + ... + 71990.

Almost surely, 2^2553353504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553353504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734748604).

2553353504 is an abundant number, since it is smaller than the sum of its proper divisors (2916143704).

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

2553353504 is a wasteful number, since it uses less digits than its factorization.

2553353504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63397 (or 63389 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 35.

The square root of 2553353504 is about 50530.7184195911. The cubic root of 2553353504 is about 1366.7958408408.

The spelling of 2553353504 in words is "two billion, five hundred fifty-three million, three hundred fifty-three thousand, five hundred four".