1295530560 has 336 divisors, whose sum is σ = 4827154176. Its totient is φ = 317669376.

The previous prime is 1295530553. The next prime is 1295530567. The reversal of 1295530560 is 650355921.

1295530560 is a `hidden beast` number, since 1 + 2 + 95 + 5 + 3 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1295530553) and next prime (1295530567).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1295530567) 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, 2300839 + ... + 2301401.

Almost surely, 2^1295530560 is an apocalyptic number.

1295530560 is a gapful number since it is divisible by the number (10) 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 1295530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413577088).

1295530560 is an abundant number, since it is smaller than the sum of its proper divisors (3531623616).

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

1295530560 is a wasteful number, since it uses less digits than its factorization.

1295530560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 1295530560 is about 35993.4794094708. The cubic root of 1295530560 is about 1090.1406995099.

The spelling of 1295530560 in words is "one billion, two hundred ninety-five million, five hundred thirty thousand, five hundred sixty".