5192411952 has 320 divisors, whose sum is σ = 17248896000. Its totient is φ = 1309077504.

The previous prime is 5192411951. The next prime is 5192411953. The reversal of 5192411952 is 2591142915.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5192411951) and next prime (5192411953).

It is a super-2 number, since 2×5192411952² = 53922283758544900608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 5192411952.

It is not an unprimeable number, because it can be changed into a prime (5192411951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22674174 + ... + 22674402.

It is an arithmetic number, because the mean of its divisors is an integer number (53902800).

Almost surely, 2^5192411952 is an apocalyptic number.

5192411952 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 5192411952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8624448000).

5192411952 is an abundant number, since it is smaller than the sum of its proper divisors (12056484048).

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

5192411952 is a wasteful number, since it uses less digits than its factorization.

5192411952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its digits is 32400, while the sum is 39.

The square root of 5192411952 is about 72058.3926548463. The cubic root of 5192411952 is about 1731.6350999470.

The spelling of 5192411952 in words is "five billion, one hundred ninety-two million, four hundred eleven thousand, nine hundred fifty-two".