5262051600 has 675 divisors, whose sum is σ = 21130467039. Its totient is φ = 1253491200.

The previous prime is 5262051583. The next prime is 5262051611. The reversal of 5262051600 is 61502625.

The square root of 5262051600 is 72540.

It is a perfect power (a square), and thus also a powerful number.

5262051600 is a `hidden beast` number, since 5 + 2 + 6 + 2 + 0 + 51 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1356301584 + 3905750016 = 36828^2 + 62496^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 169743585 + ... + 169743615.

Almost surely, 2^5262051600 is an apocalyptic number.

5262051600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5262051600 is the 72540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5262051600

5262051600 is an abundant number, since it is smaller than the sum of its proper divisors (15868415439).

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

5262051600 is a wasteful number, since it uses less digits than its factorization.

5262051600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The cubic root of 5262051600 is about 1739.3422008182.

Multiplying 5262051600 by its product of nonzero digits (3600), we get a square (18943385760000 = 4352400²).

5262051600 divided by its product of nonzero digits (3600) gives a square (1461681 = 1209²).

The spelling of 5262051600 in words is "five billion, two hundred sixty-two million, fifty-one thousand, six hundred".