1025139200 has 90 divisors (see below), whose sum is σ = 2548868949. Its totient is φ = 408606720.

The previous prime is 1025139179. The next prime is 1025139209. The reversal of 1025139200 is 29315201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1004636416 + 20502784 = 31696^2 + 4528^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=22640.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1025139209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3622259 + ... + 3622541.

Almost surely, 2^1025139200 is an apocalyptic number.

1025139200 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 1025139200

1025139200 is an abundant number, since it is smaller than the sum of its proper divisors (1523729749).

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

1025139200 is an frugal number, since it uses more digits than its factorization.

1025139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1025139200 is about 32017.7950521269. The cubic root of 1025139200 is about 1008.3104779708.

The spelling of 1025139200 in words is "one billion, twenty-five million, one hundred thirty-nine thousand, two hundred".