5125736000 has 448 divisors, whose sum is σ = 16227454464. Its totient is φ = 1557504000.

The previous prime is 5125735997. The next prime is 5125736003. The reversal of 5125736000 is 6375215.

5125736000 = T₃₈₅ + T₃₈₆ + ... + T₃₁₃₄.

It is an interprime number because it is at equal distance from previous prime (5125735997) and next prime (5125736003).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5125736003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32647922 + ... + 32648078.

Almost surely, 2^5125736000 is an apocalyptic number.

5125736000 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 5125736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8113727232).

5125736000 is an abundant number, since it is smaller than the sum of its proper divisors (11101718464).

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

5125736000 is a wasteful number, since it uses less digits than its factorization.

5125736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 5125736000 is about 71594.2455788173. The cubic root of 5125736000 is about 1724.1911491803.

The spelling of 5125736000 in words is "five billion, one hundred twenty-five million, seven hundred thirty-six thousand".