1057131361029 has 32 divisors (see below), whose sum is σ = 1446730502400. Its totient is φ = 686398648320.

The previous prime is 1057131361009. The next prime is 1057131361031. The reversal of 1057131361029 is 9201631317501.

It is not a de Polignac number, because 1057131361029 - 2¹¹ = 1057131358981 is a prime.

It is a super-2 number, since 2×1057131361029² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057131361009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21377757 + ... + 21427149.

It is an arithmetic number, because the mean of its divisors is an integer number (45210328200).

Almost surely, 2^{1057131361029} is an apocalyptic number.

It is an amenable number.

1057131361029 is a deficient number, since it is larger than the sum of its proper divisors (389599141371).

1057131361029 is a wasteful number, since it uses less digits than its factorization.

1057131361029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50685.

The product of its (nonzero) digits is 34020, while the sum is 39.

The spelling of 1057131361029 in words is "one trillion, fifty-seven billion, one hundred thirty-one million, three hundred sixty-one thousand, twenty-nine".