5310893952 has 480 divisors, whose sum is σ = 19604526480. Its totient is φ = 1397440512.

The previous prime is 5310893941. The next prime is 5310893953. The reversal of 5310893952 is 2593980135.

5310893952 is a `hidden beast` number, since 531 + 0 + 89 + 39 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5310893898 and 5310893907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5310893953) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12265128 + ... + 12265560.

Almost surely, 2^5310893952 is an apocalyptic number.

5310893952 is a gapful number since it is divisible by the number (52) 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 5310893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9802263240).

5310893952 is an abundant number, since it is smaller than the sum of its proper divisors (14293632528).

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

5310893952 is a wasteful number, since it uses less digits than its factorization.

5310893952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 5310893952 is about 72875.8804543726. The cubic root of 5310893952 is about 1744.7071592838.

The spelling of 5310893952 in words is "five billion, three hundred ten million, eight hundred ninety-three thousand, nine hundred fifty-two".