1011061656 has 128 divisors (see below), whose sum is σ = 3082060800. Its totient is φ = 304560000.

The previous prime is 1011061619. The next prime is 1011061657. The reversal of 1011061656 is 6561601101.

1011061656 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 6 + 1 + 656 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011061657) 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, 428881 + ... + 431231.

It is an arithmetic number, because the mean of its divisors is an integer number (24078600).

Almost surely, 2^1011061656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011061656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541030400).

1011061656 is an abundant number, since it is smaller than the sum of its proper divisors (2070999144).

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

1011061656 is a wasteful number, since it uses less digits than its factorization.

1011061656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1011061656 is about 31797.1957254095. The cubic root of 1011061656 is about 1003.6737060238.

Adding to 1011061656 its reverse (6561601101), we get a palindrome (7572662757).

The spelling of 1011061656 in words is "one billion, eleven million, sixty-one thousand, six hundred fifty-six".