1025257500 has 300 divisors, whose sum is σ = 3445128456. Its totient is φ = 265680000.

The previous prime is 1025257489. The next prime is 1025257501. The reversal of 1025257500 is 57525201.

It is a happy number.

1025257500 is a `hidden beast` number, since 102 + 5 + 2 + 57 + 500 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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 (1025257501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 12352459 + ... + 12352541.

Almost surely, 2^1025257500 is an apocalyptic number.

1025257500 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 1025257500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722564228).

1025257500 is an abundant number, since it is smaller than the sum of its proper divisors (2419870956).

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

1025257500 is an equidigital number, since it uses as much as digits as its factorization.

1025257500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 1025257500 is about 32019.6424089964. The cubic root of 1025257500 is about 1008.3492624733.

The spelling of 1025257500 in words is "one billion, twenty-five million, two hundred fifty-seven thousand, five hundred".