5201550400 has 84 divisors (see below), whose sum is σ = 12813281460. Its totient is φ = 2078310400.

The previous prime is 5201550397. The next prime is 5201550421. The reversal of 5201550400 is 40551025.

It can be written as a sum of positive squares in 6 ways, for example, as 3717184 + 5197833216 = 1928^2 + 72096^2 .

It is a super-2 number, since 2×5201550400² = 54112253127480320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2752656 + ... + 2754544.

It is an arithmetic number, because the mean of its divisors is an integer number (152539065).

Almost surely, 2^5201550400 is an apocalyptic number.

5201550400 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 5201550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6406640730).

5201550400 is an abundant number, since it is smaller than the sum of its proper divisors (7611731060).

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

5201550400 is a wasteful number, since it uses less digits than its factorization.

5201550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 5201550400 is about 72121.7747979069. The cubic root of 5201550400 is about 1732.6503752531.

The spelling of 5201550400 in words is "five billion, two hundred one million, five hundred fifty thousand, four hundred".