1057505055 has 32 divisors (see below), whose sum is σ = 1710422784. Its totient is φ = 557895936.

The previous prime is 1057505051. The next prime is 1057505069. The reversal of 1057505055 is 5505057501.

It is not a de Polignac number, because 1057505055 - 2² = 1057505051 is a prime.

It is a super-2 number, since 2×1057505055² = 2236633882701106050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057505051) 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, 712344 + ... + 713826.

It is an arithmetic number, because the mean of its divisors is an integer number (53450712).

Almost surely, 2^1057505055 is an apocalyptic number.

1057505055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1057505055 is a deficient number, since it is larger than the sum of its proper divisors (652917729).

1057505055 is a wasteful number, since it uses less digits than its factorization.

1057505055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975.

The product of its (nonzero) digits is 21875, while the sum is 33.

The square root of 1057505055 is about 32519.3028061796. The cubic root of 1057505055 is about 1018.8122323633.

The spelling of 1057505055 in words is "one billion, fifty-seven million, five hundred five thousand, fifty-five".