1016121627 has 24 divisors (see below), whose sum is σ = 1519989120. Its totient is φ = 653437440.

The previous prime is 1016121619. The next prime is 1016121629. The reversal of 1016121627 is 7261216101.

It is a happy number.

1016121627 is a `hidden beast` number, since 1 + 0 + 16 + 1 + 21 + 627 = 666.

It is not a de Polignac number, because 1016121627 - 2³ = 1016121619 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1016121627.

It is not an unprimeable number, because it can be changed into a prime (1016121629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82699 + ... + 94187.

It is an arithmetic number, because the mean of its divisors is an integer number (63332880).

Almost surely, 2^1016121627 is an apocalyptic number.

1016121627 is a deficient number, since it is larger than the sum of its proper divisors (503867493).

1016121627 is a wasteful number, since it uses less digits than its factorization.

1016121627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11843 (or 11840 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1016121627 is about 31876.6627331030. The cubic root of 1016121627 is about 1005.3452530290.

Adding to 1016121627 its reverse (7261216101), we get a palindrome (8277337728).

The spelling of 1016121627 in words is "one billion, sixteen million, one hundred twenty-one thousand, six hundred twenty-seven".