1057390910505 has 32 divisors (see below), whose sum is σ = 1879946651520. Its totient is φ = 563899642560.

The previous prime is 1057390910503. The next prime is 1057390910549. The reversal of 1057390910505 is 5050190937501.

1057390910505 is a `hidden beast` number, since 1 + 0 + 57 + 3 + 9 + 0 + 91 + 0 + 505 = 666.

1057390910505 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1057390910505 - 2¹ = 1057390910503 is a prime.

It is a super-2 number, since 2×1057390910505² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1057390910503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1562239 + ... + 2134331.

It is an arithmetic number, because the mean of its divisors is an integer number (58748332860).

Almost surely, 2^{1057390910505} is an apocalyptic number.

1057390910505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1057390910505 is a deficient number, since it is larger than the sum of its proper divisors (822555741015).

1057390910505 is a wasteful number, since it uses less digits than its factorization.

1057390910505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585798 (or 585792 counting only the distinct ones).

The product of its (nonzero) digits is 212625, while the sum is 45.

The spelling of 1057390910505 in words is "one trillion, fifty-seven billion, three hundred ninety million, nine hundred ten thousand, five hundred five".