5135925600 has 432 divisors, whose sum is σ = 20044310832. Its totient is φ = 1229230080.

The previous prime is 5135925583. The next prime is 5135925629. The reversal of 5135925600 is 65295315.

5135925600 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 92 + 560 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3462459 + ... + 3463941.

Almost surely, 2^5135925600 is an apocalyptic number.

5135925600 is a gapful number since it is divisible by the number (50) 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 5135925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10022155416).

5135925600 is an abundant number, since it is smaller than the sum of its proper divisors (14908385232).

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

5135925600 is a wasteful number, since it uses less digits than its factorization.

5135925600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 5135925600 is about 71665.3723914137. The cubic root of 5135925600 is about 1725.3329162110.

The spelling of 5135925600 in words is "five billion, one hundred thirty-five million, nine hundred twenty-five thousand, six hundred".