1057065636410 has 24 divisors (see below), whose sum is σ = 2213366007060. Its totient is φ = 362422503744.

The previous prime is 1057065636391. The next prime is 1057065636433. The reversal of 1057065636410 is 146365607501.

It can be written as a sum of positive squares in 2 ways, for example, as 1050832060201 + 6233576209 = 1025101^2 + 78953^2 .

It is a super-2 number, since 2×1057065636410² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1078637915 + ... + 1078638894.

Almost surely, 2^{1057065636410} is an apocalyptic number.

1057065636410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1057065636410 is an abundant number, since it is smaller than the sum of its proper divisors (1156300370650).

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

1057065636410 is a wasteful number, since it uses less digits than its factorization.

1057065636410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157276830 (or 2157276823 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 1057065636410 in words is "one trillion, fifty-seven billion, sixty-five million, six hundred thirty-six thousand, four hundred ten".