1020138579 has 48 divisors (see below), whose sum is σ = 1545882624. Its totient is φ = 647740800.

The previous prime is 1020138569. The next prime is 1020138593. The reversal of 1020138579 is 9758310201.

1020138579 is a `hidden beast` number, since 1 + 0 + 201 + 385 + 79 = 666.

1020138579 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1020138579 - 2⁷ = 1020138451 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020138569) 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, 3764214 + ... + 3764484.

It is an arithmetic number, because the mean of its divisors is an integer number (32205888).

Almost surely, 2^1020138579 is an apocalyptic number.

1020138579 is a deficient number, since it is larger than the sum of its proper divisors (525744045).

1020138579 is a wasteful number, since it uses less digits than its factorization.

1020138579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1020138579 is about 31939.6083100592. The cubic root of 1020138579 is about 1006.6682946750.

It can be divided in two parts, 102013 and 8579, that added together give a cube (110592 = 48³).

The spelling of 1020138579 in words is "one billion, twenty million, one hundred thirty-eight thousand, five hundred seventy-nine".