1057135013176 has 32 divisors (see below), whose sum is σ = 2276128022400. Its totient is φ = 455225603040.

The previous prime is 1057135013161. The next prime is 1057135013183. The reversal of 1057135013176 is 6713105317501.

It is a super-2 number, since 2×1057135013176² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316127220 + ... + 316130563.

It is an arithmetic number, because the mean of its divisors is an integer number (71129000700).

Almost surely, 2^{1057135013176} is an apocalyptic number.

It is an amenable number.

1057135013176 is an abundant number, since it is smaller than the sum of its proper divisors (1218993009224).

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

1057135013176 is a wasteful number, since it uses less digits than its factorization.

1057135013176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632257819 (or 632257815 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 40.

The spelling of 1057135013176 in words is "one trillion, fifty-seven billion, one hundred thirty-five million, thirteen thousand, one hundred seventy-six".