1025265600 has 336 divisors, whose sum is σ = 3796527840. Its totient is φ = 272471040.

The previous prime is 1025265589. The next prime is 1025265607. The reversal of 1025265600 is 65625201.

1025265600 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 2 + 656 + 0 + 0 = 666.

1025265600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025265607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3499054 + ... + 3499346.

It is an arithmetic number, because the mean of its divisors is an integer number (11299190).

Almost surely, 2^1025265600 is an apocalyptic number.

1025265600 is a gapful number since it is divisible by the number (10) 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 1025265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898263920).

1025265600 is an abundant number, since it is smaller than the sum of its proper divisors (2771262240).

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

1025265600 is an frugal number, since it uses more digits than its factorization.

1025265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1025265600 is about 32019.7688936070. The cubic root of 1025265600 is about 1008.3519179387.

The spelling of 1025265600 in words is "one billion, twenty-five million, two hundred sixty-five thousand, six hundred".