5146251264 has 624 divisors, whose sum is σ = 19422499200. Its totient is φ = 1300561920.

The previous prime is 5146251263. The next prime is 5146251269. The reversal of 5146251264 is 4621526415.

5146251264 is a `hidden beast` number, since 5 + 1 + 4 + 625 + 1 + 26 + 4 = 666.

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

Its product of digits (57600) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5146251263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139087854 + ... + 139087890.

It is an arithmetic number, because the mean of its divisors is an integer number (31125800).

Almost surely, 2^5146251264 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 5146251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9711249600).

5146251264 is an abundant number, since it is smaller than the sum of its proper divisors (14276247936).

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

5146251264 is a wasteful number, since it uses less digits than its factorization.

5146251264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5146251264 is about 71737.3770359636. The cubic root of 5146251264 is about 1726.4883900021.

Adding to 5146251264 its reverse (4621526415), we get a palindrome (9767777679).

The spelling of 5146251264 in words is "five billion, one hundred forty-six million, two hundred fifty-one thousand, two hundred sixty-four".