1079591625 has 64 divisors (see below), whose sum is σ = 2281244160. Its totient is φ = 493516800.

The previous prime is 1079591599. The next prime is 1079591633. The reversal of 1079591625 is 5261959701.

1079591625 is a `hidden beast` number, since 10 + 7 + 9 + 5 + 9 + 1 + 625 = 666.

It is not a de Polignac number, because 1079591625 - 2⁶ = 1079591561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 777 + ... + 46473.

It is an arithmetic number, because the mean of its divisors is an integer number (35644440).

Almost surely, 2^1079591625 is an apocalyptic number.

1079591625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1079591625 is an abundant number, since it is smaller than the sum of its proper divisors (1201652535).

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

1079591625 is an equidigital number, since it uses as much as digits as its factorization.

1079591625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45728 (or 45712 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The square root of 1079591625 is about 32857.1396350930. The cubic root of 1079591625 is about 1025.8562347723.

It can be divided in two parts, 1079 and 591625, that added together give a cube (592704 = 84³).

The spelling of 1079591625 in words is "one billion, seventy-nine million, five hundred ninety-one thousand, six hundred twenty-five".