2553125652 has 432 divisors, whose sum is σ = 8712610816. Its totient is φ = 615859200.

The previous prime is 2553125647. The next prime is 2553125657. The reversal of 2553125652 is 2565213552.

2553125652 is a `hidden beast` number, since 2 + 553 + 1 + 2 + 56 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (2553125647) and next prime (2553125657).

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

Its product of digits (90000) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553125657) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34974288 + ... + 34974360.

Almost surely, 2^2553125652 is an apocalyptic number.

2553125652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553125652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356305408).

2553125652 is an abundant number, since it is smaller than the sum of its proper divisors (6159485164).

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

2553125652 is a wasteful number, since it uses less digits than its factorization.

2553125652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 2553125652 is about 50528.4637803288. The cubic root of 2553125652 is about 1366.7551836646.

The spelling of 2553125652 in words is "two billion, five hundred fifty-three million, one hundred twenty-five thousand, six hundred fifty-two".