1025057280 has 160 divisors (see below), whose sum is σ = 3529399104. Its totient is φ = 252297216.

The previous prime is 1025057273. The next prime is 1025057303. The reversal of 1025057280 is 827505201.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94707 + ... + 104973.

Almost surely, 2^1025057280 is an apocalyptic number.

1025057280 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 1025057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764699552).

1025057280 is an abundant number, since it is smaller than the sum of its proper divisors (2504341824).

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

1025057280 is a wasteful number, since it uses less digits than its factorization.

1025057280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10306 (or 10290 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 1025057280 is about 32016.5157379750. The cubic root of 1025057280 is about 1008.2836188559.

The spelling of 1025057280 in words is "one billion, twenty-five million, fifty-seven thousand, two hundred eighty".