5263601616 has 720 divisors, whose sum is σ = 20500771200. Its totient is φ = 1269789696.

The previous prime is 5263601533. The next prime is 5263601657. The reversal of 5263601616 is 6161063625.

5263601616 is a `hidden beast` number, since 5 + 2 + 6 + 36 + 0 + 1 + 616 = 666.

It is a super-2 number, since 2×5263601616² = 55411003943915622912, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 181503490 + ... + 181503518.

Almost surely, 2^5263601616 is an apocalyptic number.

5263601616 is a gapful number since it is divisible by the number (56) 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 5263601616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10250385600).

5263601616 is an abundant number, since it is smaller than the sum of its proper divisors (15237169584).

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

5263601616 is a wasteful number, since it uses less digits than its factorization.

5263601616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5263601616 is about 72550.6830843101. The cubic root of 5263601616 is about 1739.5129671386.

The spelling of 5263601616 in words is "five billion, two hundred sixty-three million, six hundred one thousand, six hundred sixteen".