565138560 has 192 divisors, whose sum is σ = 2095830720. Its totient is φ = 129153024.

The previous prime is 565138549. The next prime is 565138571. The reversal of 565138560 is 65831565.

565138560 = T₂₂₄ + T₂₂₅ + ... + T₁₅₀₃.

It is an interprime number because it is at equal distance from previous prime (565138549) and next prime (565138571).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91077 + ... + 97083.

It is an arithmetic number, because the mean of its divisors is an integer number (10915785).

Almost surely, 2^565138560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047915360).

565138560 is an abundant number, since it is smaller than the sum of its proper divisors (1530692160).

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

565138560 is a wasteful number, since it uses less digits than its factorization.

565138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6043 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 565138560 is about 23772.6431008418. The cubic root of 565138560 is about 826.7705153384.

The spelling of 565138560 in words is "five hundred sixty-five million, one hundred thirty-eight thousand, five hundred sixty".