5267953152 has 640 divisors, whose sum is σ = 20034432000. Its totient is φ = 1354752000.

The previous prime is 5267953147. The next prime is 5267953219. The reversal of 5267953152 is 2513597625.

5267953152 is a `hidden beast` number, since 5 + 2 + 67 + 9 + 531 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5267953098 and 5267953107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52157902 + ... + 52158002.

It is an arithmetic number, because the mean of its divisors is an integer number (31303800).

Almost surely, 2^5267953152 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 5267953152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10017216000).

5267953152 is an abundant number, since it is smaller than the sum of its proper divisors (14766478848).

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

5267953152 is a wasteful number, since it uses less digits than its factorization.

5267953152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 5267953152 is about 72580.6665166420. Note that the first 3 decimals coincide. The cubic root of 5267953152 is about 1739.9921997272.

The spelling of 5267953152 in words is "five billion, two hundred sixty-seven million, nine hundred fifty-three thousand, one hundred fifty-two".