1057001560 has 16 divisors (see below), whose sum is σ = 2378253600. Its totient is φ = 422800608.

The previous prime is 1057001549. The next prime is 1057001563. The reversal of 1057001560 is 651007501.

It is a super-2 number, since 2×1057001560² = 2234504595684867200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057001563) 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 3 ways as a sum of consecutive naturals, for example, 13212480 + ... + 13212559.

It is an arithmetic number, because the mean of its divisors is an integer number (148640850).

Almost surely, 2^1057001560 is an apocalyptic number.

1057001560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057001560 is an abundant number, since it is smaller than the sum of its proper divisors (1321252040).

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

1057001560 is a wasteful number, since it uses less digits than its factorization.

1057001560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26425050 (or 26425046 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 1057001560 is about 32511.5604054927. The cubic root of 1057001560 is about 1018.6505157850.

The spelling of 1057001560 in words is "one billion, fifty-seven million, one thousand, five hundred sixty".