1057010617 has 16 divisors (see below), whose sum is σ = 1155667968. Its totient is φ = 960937920.

The previous prime is 1057010597. The next prime is 1057010621. The reversal of 1057010617 is 7160107501.

It is a cyclic number.

It is not a de Polignac number, because 1057010617 - 2¹⁵ = 1056977849 is a prime.

It is a super-3 number, since 3×1057010617³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1057010657) 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, 253683 + ... + 257815.

It is an arithmetic number, because the mean of its divisors is an integer number (72229248).

Almost surely, 2^1057010617 is an apocalyptic number.

It is an amenable number.

1057010617 is a deficient number, since it is larger than the sum of its proper divisors (98657351).

1057010617 is a wasteful number, since it uses less digits than its factorization.

1057010617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440.

The product of its (nonzero) digits is 1470, while the sum is 28.

The square root of 1057010617 is about 32511.6996941101. The cubic root of 1057010617 is about 1018.6534252387.

The spelling of 1057010617 in words is "one billion, fifty-seven million, ten thousand, six hundred seventeen".