5153817240 has 768 divisors, whose sum is σ = 21629721600. Its totient is φ = 1078272000.

The previous prime is 5153817217. The next prime is 5153817311. The reversal of 5153817240 is 427183515.

5153817240 is a `hidden beast` number, since 51 + 538 + 1 + 72 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5153817195 and 5153817204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34131165 + ... + 34131315.

It is an arithmetic number, because the mean of its divisors is an integer number (28163700).

Almost surely, 2^5153817240 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 5153817240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10814860800).

5153817240 is an abundant number, since it is smaller than the sum of its proper divisors (16475904360).

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

5153817240 is a wasteful number, since it uses less digits than its factorization.

5153817240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5153817240 is about 71790.0915168660. The cubic root of 5153817240 is about 1727.3340653480.

The spelling of 5153817240 in words is "five billion, one hundred fifty-three million, eight hundred seventeen thousand, two hundred forty".