1057016205 has 48 divisors (see below), whose sum is σ = 2119178880. Its totient is φ = 477373824.

The previous prime is 1057016201. The next prime is 1057016249. The reversal of 1057016205 is 5026107501.

It is not a de Polignac number, because 1057016205 - 2² = 1057016201 is a prime.

It is a super-2 number, since 2×1057016205² = 2234566515265204050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057016201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5931 + ... + 46359.

It is an arithmetic number, because the mean of its divisors is an integer number (44149560).

Almost surely, 2^1057016205 is an apocalyptic number.

1057016205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1057016205 is an abundant number, since it is smaller than the sum of its proper divisors (1062162675).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1057016205 is a wasteful number, since it uses less digits than its factorization.

1057016205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40530 (or 40527 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1057016205 is about 32511.7856322903. The cubic root of 1057016205 is about 1018.6552203091.

The spelling of 1057016205 in words is "one billion, fifty-seven million, sixteen thousand, two hundred five".