1295545536 has 224 divisors, whose sum is σ = 3994099200. Its totient is φ = 411264000.

The previous prime is 1295545529. The next prime is 1295545549. The reversal of 1295545536 is 6355455921.

1295545536 is a `hidden beast` number, since 1 + 2 + 95 + 5 + 4 + 553 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1295545491 and 1295545500.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5161411 + ... + 5161661.

It is an arithmetic number, because the mean of its divisors is an integer number (17830800).

Almost surely, 2^1295545536 is an apocalyptic number.

1295545536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1295545536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997049600).

1295545536 is an abundant number, since it is smaller than the sum of its proper divisors (2698553664).

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

1295545536 is a wasteful number, since it uses less digits than its factorization.

1295545536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its digits is 810000, while the sum is 45.

The square root of 1295545536 is about 35993.6874465510. The cubic root of 1295545536 is about 1090.1449000757.

The spelling of 1295545536 in words is "one billion, two hundred ninety-five million, five hundred forty-five thousand, five hundred thirty-six".