1057265828129 has 16 divisors (see below), whose sum is σ = 1298475739008. Its totient is φ = 840190171392.

The previous prime is 1057265828123. The next prime is 1057265828159. The reversal of 1057265828129 is 9218285627501.

It is a cyclic number.

It is not a de Polignac number, because 1057265828129 - 2⁸ = 1057265827873 is a prime.

It is a super-2 number, since 2×1057265828129² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057265828123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66294914 + ... + 66310859.

It is an arithmetic number, because the mean of its divisors is an integer number (81154733688).

Almost surely, 2^{1057265828129} is an apocalyptic number.

It is an amenable number.

1057265828129 is a deficient number, since it is larger than the sum of its proper divisors (241209910879).

1057265828129 is a wasteful number, since it uses less digits than its factorization.

1057265828129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132605864.

The product of its (nonzero) digits is 4838400, while the sum is 56.

The spelling of 1057265828129 in words is "one trillion, fifty-seven billion, two hundred sixty-five million, eight hundred twenty-eight thousand, one hundred twenty-nine".