1205164051 has 32 divisors (see below), whose sum is σ = 1638862848. Its totient is φ = 858401280.

The previous prime is 1205164033. The next prime is 1205164057. The reversal of 1205164051 is 1504615021.

1205164051 = 5096² + 5097² + ... + 5141².

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1205164051 - 2⁷ = 1205163923 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1205164057) 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, 18646 + ... + 52516.

It is an arithmetic number, because the mean of its divisors is an integer number (51214464).

Almost surely, 2^1205164051 is an apocalyptic number.

1205164051 is a deficient number, since it is larger than the sum of its proper divisors (433698797).

1205164051 is a wasteful number, since it uses less digits than its factorization.

1205164051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33931.

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 1205164051 is about 34715.4727895214. The cubic root of 1205164051 is about 1064.1807275283.

Adding to 1205164051 its reverse (1504615021), we get a palindrome (2709779072).

The spelling of 1205164051 in words is "one billion, two hundred five million, one hundred sixty-four thousand, fifty-one".