2557825452 has 120 divisors (see below), whose sum is σ = 8229831456. Its totient is φ = 674583552.

The previous prime is 2557825451. The next prime is 2557825463. The reversal of 2557825452 is 2545287552.

2557825452 is a `hidden beast` number, since 2 + 5 + 578 + 25 + 4 + 52 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2557825398 and 2557825407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557825451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13893 + ... + 72860.

Almost surely, 2^2557825452 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 2557825452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114915728).

2557825452 is an abundant number, since it is smaller than the sum of its proper divisors (5672006004).

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

2557825452 is a wasteful number, since it uses less digits than its factorization.

2557825452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86789 (or 86778 counting only the distinct ones).

The product of its digits is 1120000, while the sum is 45.

The square root of 2557825452 is about 50574.9488581056. The cubic root of 2557825452 is about 1367.5933117036.

The spelling of 2557825452 in words is "two billion, five hundred fifty-seven million, eight hundred twenty-five thousand, four hundred fifty-two".