1164515625 has 189 divisors, whose sum is σ = 2648462193. Its totient is φ = 491400000.

The previous prime is 1164515617. The next prime is 1164515633. The reversal of 1164515625 is 5265154611.

1164515625 = 246² + 247² + ... + 1519².

The square root of 1164515625 is 34125.

It is a perfect power (a square), and thus also a powerful number.

1164515625 is a `hidden beast` number, since 1 + 1 + 645 + 1 + 5 + 6 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1164515617) and next prime (1164515633).

It can be written as a sum of positive squares in 10 ways, for example, as 546297129 + 618218496 = 23373^2 + 24864^2 .

It is not a de Polignac number, because 1164515625 - 2³ = 1164515617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1164515625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 89578119 + ... + 89578131.

Almost surely, 2^1164515625 is an apocalyptic number.

1164515625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1164515625 is the 34125-th square number.

1164515625 is the 17063-rd centered octagonal number.

It is an amenable number.

1164515625 is an abundant number, since it is smaller than the sum of its proper divisors (1483946568).

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

1164515625 is an frugal number, since it uses more digits than its factorization.

1164515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The cubic root of 1164515625 is about 1052.0792133507.

Multiplying 1164515625 by its sum of digits (36), we get a square (41922562500 = 204750²).

The spelling of 1164515625 in words is "one billion, one hundred sixty-four million, five hundred fifteen thousand, six hundred twenty-five".