57010965 has 48 divisors (see below), whose sum is σ = 101582208. Its totient is φ = 27280000.

The previous prime is 57010937. The next prime is 57010973. The reversal of 57010965 is 56901075.

It is not a de Polignac number, because 57010965 - 2⁶ = 57010901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

57010965 is an undulating number in base 6.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183160 + ... + 183470.

It is an arithmetic number, because the mean of its divisors is an integer number (2116296).

Almost surely, 2^57010965 is an apocalyptic number.

57010965 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57010965 is a deficient number, since it is larger than the sum of its proper divisors (44571243).

57010965 is a wasteful number, since it uses less digits than its factorization.

57010965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 57010965 is about 7550.5605752156. The cubic root of 57010965 is about 384.8747892150.

It can be divided in two parts, 57010 and 965, that added together give a palindrome (57975).

The spelling of 57010965 in words is "fifty-seven million, ten thousand, nine hundred sixty-five".