5121982152 has 288 divisors, whose sum is σ = 17390973600. Its totient is φ = 1353397248.

The previous prime is 5121982127. The next prime is 5121982153. The reversal of 5121982152 is 2512891215.

5121982152 = 78³ + 79³ + ... + 378³.

5121982152 is a `hidden beast` number, since 512 + 1 + 98 + 2 + 1 + 52 = 666.

It is a super-2 number, since 2×5121982152² = 52469402330813102208, which contains 22 as substring.

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 (5121982153) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2881488 + ... + 2883264.

It is an arithmetic number, because the mean of its divisors is an integer number (60385325).

Almost surely, 2^5121982152 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 5121982152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8695486800).

5121982152 is an abundant number, since it is smaller than the sum of its proper divisors (12268991448).

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

5121982152 is a wasteful number, since it uses less digits than its factorization.

5121982152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1851 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 5121982152 is about 71568.0246478831. The cubic root of 5121982152 is about 1723.7701408831.

The spelling of 5121982152 in words is "five billion, one hundred twenty-one million, nine hundred eighty-two thousand, one hundred fifty-two".