1057075003365 has 64 divisors (see below), whose sum is σ = 1827715276800. Its totient is φ = 520095147264.

The previous prime is 1057075003357. The next prime is 1057075003403. The reversal of 1057075003365 is 5633005707501.

It is not a de Polignac number, because 1057075003365 - 2³ = 1057075003357 is a prime.

It is a super-2 number, since 2×1057075003365² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9137112 + ... + 9252078.

It is an arithmetic number, because the mean of its divisors is an integer number (28558051200).

Almost surely, 2^{1057075003365} is an apocalyptic number.

1057075003365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1057075003365 is a deficient number, since it is larger than the sum of its proper divisors (770640273435).

1057075003365 is a wasteful number, since it uses less digits than its factorization.

1057075003365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115946.

The product of its (nonzero) digits is 330750, while the sum is 42.

The spelling of 1057075003365 in words is "one trillion, fifty-seven billion, seventy-five million, three thousand, three hundred sixty-five".