1057781820 has 48 divisors (see below), whose sum is σ = 3136015008. Its totient is φ = 265482240.

The previous prime is 1057781807. The next prime is 1057781831. The reversal of 1057781820 is 281877501.

It is a super-3 number, since 3×1057781820³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 2.

It is a congruent number.

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, 517501 + ... + 519540.

It is an arithmetic number, because the mean of its divisors is an integer number (65333646).

Almost surely, 2^1057781820 is an apocalyptic number.

1057781820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057781820 is an abundant number, since it is smaller than the sum of its proper divisors (2078233188).

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

1057781820 is a wasteful number, since it uses less digits than its factorization.

1057781820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037070 (or 1037068 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 39.

The square root of 1057781820 is about 32523.5579234499. The cubic root of 1057781820 is about 1018.9011041126.

The spelling of 1057781820 in words is "one billion, fifty-seven million, seven hundred eighty-one thousand, eight hundred twenty".