1057534907585 has 36 divisors (see below), whose sum is σ = 1375123301748. Its totient is φ = 776142657792.

The previous prime is 1057534907557. The next prime is 1057534907609. The reversal of 1057534907585 is 5857094357501.

It can be written as a sum of positive squares in 18 ways, for example, as 764092767376 + 293442140209 = 874124^2 + 541703^2 .

It is not a de Polignac number, because 1057534907585 - 2¹² = 1057534903489 is a prime.

It is a super-2 number, since 2×1057534907585² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1898626127 + ... + 1898626683.

It is an arithmetic number, because the mean of its divisors is an integer number (38197869493).

Almost surely, 2^{1057534907585} is an apocalyptic number.

It is an amenable number.

1057534907585 is a deficient number, since it is larger than the sum of its proper divisors (317588394163).

1057534907585 is an frugal number, since it uses more digits than its factorization.

1057534907585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 26460000, while the sum is 59.

The spelling of 1057534907585 in words is "one trillion, fifty-seven billion, five hundred thirty-four million, nine hundred seven thousand, five hundred eighty-five".